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96346346259780 = 223254991223877073
BaseRepresentation
bin10101111010000001100001…
…101111101000010101000100
3110122010121202112012210101200
4111322001201233220111010
5100112014304120303110
6540524522255022500
726202536163566421
oct2572014157502504
9418117675183350
1096346346259780
112877628a7a0841
12a98069850aa30
13419b562c71086
1419b128bda6d48
15b212c9bdd6c0
hex57a061be8544

96346346259780 has 144 divisors (see below), whose sum is σ = 293076031248000. Its totient is φ = 25619876545536.

The previous prime is 96346346259701. The next prime is 96346346259781. The reversal of 96346346259780 is 8795264364369.

96346346259780 is a `hidden beast` number, since 9 + 6 + 3 + 46 + 3 + 462 + 59 + 78 + 0 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 96346346259699 and 96346346259708.

It is not an unprimeable number, because it can be changed into a prime (96346346259781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109411324 + ... + 110288396.

It is an arithmetic number, because the mean of its divisors is an integer number (2035250217000).

Almost surely, 296346346259780 is an apocalyptic number.

96346346259780 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96346346259780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146538015624000).

96346346259780 is an abundant number, since it is smaller than the sum of its proper divisors (196729684988220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96346346259780 is a wasteful number, since it uses less digits than its factorization.

96346346259780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878810 (or 878805 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 96346346259780 in words is "ninety-six trillion, three hundred forty-six billion, three hundred forty-six million, two hundred fifty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 499 998 1223 1497 1996 2446 2495 2994 3669 4491 4892 4990 5988 6115 7338 7485 8982 9980 11007 12230 14676 14970 17964 18345 22014 22455 24460 29940 36690 44028 44910 55035 73380 89820 110070 220140 610277 877073 1220554 1754146 1830831 2441108 2631219 3051385 3508292 3661662 4385365 5262438 5492493 6102770 7323324 7893657 8770730 9154155 10524876 10984986 12205540 13156095 15787314 17541460 18308310 21969972 26312190 27462465 31574628 36616620 39468285 52624380 54924930 78936570 109849860 157873140 437659427 875318854 1072660279 1312978281 1750637708 2145320558 2188297135 2625956562 3217980837 3938934843 4290641116 4376594270 5251913124 5363301395 6435961674 6564891405 7877869686 8753188540 9653942511 10726602790 12871923348 13129782810 15755739372 16089904185 19307885022 19694674215 21453205580 26259565620 32179808370 38615770044 39389348430 48269712555 64359616740 78778696860 96539425110 193078850220 535257479221 1070514958442 1605772437663 2141029916884 2676287396105 3211544875326 4817317312989 5352574792210 6423089750652 8028862188315 9634634625978 10705149584420 16057724376630 19269269251956 24086586564945 32115448753260 48173173129890 96346346259780