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96297255072 = 25321736435399
BaseRepresentation
bin101100110101111000…
…0111000000010100000
3100012120010021102002200
41121223300320002200
53034204044130242
6112123252213200
76646223106534
oct1315360700240
9305503242080
1096297255072
1137926321027
12167b590a200
139108667605
1449373a7bc4
15278913004c
hex166bc380a0

96297255072 has 144 divisors (see below), whose sum is σ = 290087179200. Its totient is φ = 30197016576.

The previous prime is 96297255059. The next prime is 96297255127. The reversal of 96297255072 is 27055279269.

96297255072 is a `hidden beast` number, since 9 + 62 + 9 + 72 + 5 + 507 + 2 = 666.

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

It is a super-2 number, since 2×962972550722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17833429 + ... + 17838827.

It is an arithmetic number, because the mean of its divisors is an integer number (2014494300).

Almost surely, 296297255072 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 96297255072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145043589600).

96297255072 is an abundant number, since it is smaller than the sum of its proper divisors (193789924128).

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

96297255072 is a wasteful number, since it uses less digits than its factorization.

96297255072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9075 (or 9064 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 96297255072 in words is "ninety-six billion, two hundred ninety-seven million, two hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 3643 4896 5399 7286 10798 10929 14572 16197 21596 21858 29144 32394 32787 43192 43716 48591 58288 61931 64788 65574 86384 87432 91783 97182 116576 123862 129576 131148 172768 174864 183566 185793 194364 247724 259152 262296 275349 349728 367132 371586 388728 495448 518304 524592 550698 557379 734264 743172 777456 826047 990896 1049184 1101396 1114758 1468528 1486344 1554912 1652094 1981792 2202792 2229516 2937056 2972688 3304188 4405584 4459032 5945376 6608376 8811168 8918064 13216752 17836128 19668557 26433504 39337114 59005671 78674228 118011342 157348456 177017013 236022684 314696912 334365469 354034026 472045368 629393824 668730938 708068052 944090736 1003096407 1337461876 1416136104 1888181472 2006192814 2674923752 2832272208 3009289221 4012385628 5349847504 5664544416 6018578442 8024771256 10699695008 12037156884 16049542512 24074313768 32099085024 48148627536 96297255072