Search a number
-
+
3096015628896 = 2532367140920789
BaseRepresentation
bin101101000011011000111…
…010010110101001100000
3101221222100122121121001200
4231003120322112221200
5401211120000111041
610330142343401200
7436452103431231
oct55033072265140
911858318547050
103096015628896
11a940161228a3
12420041453200
13195c50a308b8
14a9bc2b11088
1555803c941b6
hex2d0d8e96a60

3096015628896 has 144 divisors (see below), whose sum is σ = 8834974948800. Its totient is φ = 1028413292544.

The previous prime is 3096015628889. The next prime is 3096015628903. The reversal of 3096015628896 is 6988265106903.

3096015628896 is a `hidden beast` number, since 3 + 0 + 9 + 60 + 1 + 562 + 8 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3096015628889) and next prime (3096015628903).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148915270 + ... + 148936058.

It is an arithmetic number, because the mean of its divisors is an integer number (61353992700).

Almost surely, 23096015628896 is an apocalyptic number.

3096015628896 is a gapful number since it is divisible by the number (36) 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 3096015628896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417487474400).

3096015628896 is an abundant number, since it is smaller than the sum of its proper divisors (5738959319904).

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

3096015628896 is a wasteful number, since it uses less digits than its factorization.

3096015628896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22581 (or 22570 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 3096015628896 in words is "three trillion, ninety-six billion, fifteen million, six hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 367 734 1101 1409 1468 2202 2818 2936 3303 4227 4404 5636 5872 6606 8454 8808 11272 11744 12681 13212 16908 17616 20789 22544 25362 26424 33816 35232 41578 45088 50724 52848 62367 67632 83156 101448 105696 124734 135264 166312 187101 202896 249468 332624 374202 405792 498936 517103 665248 748404 997872 1034206 1496808 1551309 1995744 2068412 2993616 3102618 4136824 4653927 5987232 6205236 7629563 8273648 9307854 12410472 15259126 16547296 18615708 22888689 24820944 29291701 30518252 37231416 45777378 49641888 58583402 61036504 68666067 74462832 87875103 91554756 117166804 122073008 137332134 148925664 175750206 183109512 234333608 244146016 263625309 274664268 351500412 366219024 468667216 527250618 549328536 703000824 732438048 937334432 1054501236 1098657072 1406001648 2109002472 2197314144 2812003296 4218004944 8436009888 10750054267 21500108534 32250162801 43000217068 64500325602 86000434136 96750488403 129000651204 172000868272 193500976806 258001302408 344001736544 387001953612 516002604816 774003907224 1032005209632 1548007814448 3096015628896