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96435712680 = 23357370915527
BaseRepresentation
bin101100111010000000…
…1000011001010101000
3100012220202210210020020
41121310001003022220
53040000020301210
6112145120000440
76652524014166
oct1316401031250
9305822723206
1096435712680
113799749a2aa
1216834160120
13912b2548a8
14494b92a236
15279637e770
hex16740432a8

96435712680 has 128 divisors (see below), whose sum is σ = 293702803200. Its totient is φ = 25326508032.

The previous prime is 96435712669. The next prime is 96435712693. The reversal of 96435712680 is 8621753469.

It is a Cunningham number, because it is equal to 3105412-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6203077 + ... + 6218603.

It is an arithmetic number, because the mean of its divisors is an integer number (2294553150).

It is a 2-persistent number, because it is pandigital, and so is 2⋅96435712680 = 192871425360, but 3⋅96435712680 = 289307138040 is not.

Almost surely, 296435712680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96435712680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146851401600).

96435712680 is an abundant number, since it is smaller than the sum of its proper divisors (197267090520).

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

96435712680 is a wasteful number, since it uses less digits than its factorization.

96435712680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16323 (or 16319 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 96435712680 in words is "ninety-six billion, four hundred thirty-five million, seven hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 709 730 876 1095 1418 1460 1752 2127 2190 2836 2920 3545 4254 4380 5672 7090 8508 8760 10635 14180 15527 17016 21270 28360 31054 42540 46581 51757 62108 77635 85080 93162 103514 124216 155270 155271 186324 207028 232905 258785 310540 310542 372648 414056 465810 517570 621080 621084 776355 931620 1035140 1133471 1242168 1552710 1863240 2070280 2266942 3105420 3400413 4533884 5667355 6210840 6800826 9067768 11008643 11334710 13601652 17002065 22017286 22669420 27203304 33025929 34004130 44034572 45338840 55043215 66051858 68008260 88069144 110086430 132103716 136016520 165129645 220172860 264207432 330259290 440345720 660518580 803630939 1321037160 1607261878 2410892817 3214523756 4018154695 4821785634 6429047512 8036309390 9643571268 12054464085 16072618780 19287142536 24108928170 32145237560 48217856340 96435712680