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96923255625 = 3254725932
BaseRepresentation
bin101101001000100010…
…0111000001101001001
3100021011202012112102100
41122101010320031021
53041444323140000
6112305333424013
710000564036200
oct1322104701511
9307152175370
1096923255625
1138117718559
121694b49b009
1391a8267941
14499659c237
1527c4086a00
hex1691138349

96923255625 has 135 divisors (see below), whose sum is σ = 203850421203. Its totient is φ = 44233056000.

The previous prime is 96923255599. The next prime is 96923255657. The reversal of 96923255625 is 52655232969.

The square root of 96923255625 is 311325.

It is a perfect power (a square), and thus also a powerful number.

96923255625 is a `hidden beast` number, since 9 + 6 + 9 + 2 + 3 + 2 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 64428145929 + 32495109696 = 253827^2 + 180264^2 .

It is not a de Polignac number, because 96923255625 - 229 = 96386384713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 163445329 + ... + 163445921.

Almost surely, 296923255625 is an apocalyptic number.

96923255625 is the 311325-th square number.

96923255625 is the 155663-rd centered octagonal number.

It is an amenable number.

96923255625 is an abundant number, since it is smaller than the sum of its proper divisors (106927165578).

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

96923255625 is an frugal number, since it uses more digits than its factorization.

96923255625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 608 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The spelling of 96923255625 in words is "ninety-six billion, nine hundred twenty-three million, two hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 525 593 625 735 875 1125 1225 1575 1779 1875 2205 2625 2965 3675 4151 4375 5337 5625 6125 7875 8895 11025 12453 13125 14825 18375 20755 26685 29057 30625 37359 39375 44475 55125 62265 74125 87171 91875 103775 133425 145285 186795 222375 261513 275625 311325 351649 370625 435855 518875 667125 726425 933975 1054947 1111875 1307565 1556625 1758245 2179275 2461543 2594375 3164841 3335625 3632125 4669875 5274735 6537825 7384629 7783125 8791225 10896375 12307715 15824205 17230801 18160625 22153887 23349375 26373675 32689125 36923145 43956125 51692403 54481875 61538575 79121025 86154005 110769435 131868375 155077209 163445625 184615725 219780625 258462015 307692875 395605125 430770025 553847175 659341875 775386045 923078625 1292310075 1538464375 1978025625 2153850125 2769235875 3876930225 4615393125 6461550375 10769250625 13846179375 19384651125 32307751875 96923255625