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159644198025 = 34521326832
BaseRepresentation
bin1001010010101110001…
…0010010010010001001
3120021001212201112110000
42110223202102102021
510103422403314100
6201201201113213
714351063202444
oct2245342222211
9507055645400
10159644198025
1161782a95944
1226b34628809
1312092631900
147a2657665b
154245609900
hex252b892489

159644198025 has 135 divisors (see below), whose sum is σ = 320682963909. Its totient is φ = 78478994880.

The previous prime is 159644198017. The next prime is 159644198041. The reversal of 159644198025 is 520891446951.

The square root of 159644198025 is 399555.

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

159644198025 is a `hidden beast` number, since 1 + 5 + 96 + 441 + 98 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41148528201 + 118495669824 = 202851^2 + 344232^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 159644198025 - 23 = 159644198017 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, 233739334 + ... + 233740016.

Almost surely, 2159644198025 is an apocalyptic number.

159644198025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

159644198025 is the 399555-th square number.

159644198025 is the 199778-th centered octagonal number.

It is an amenable number.

159644198025 is an abundant number, since it is smaller than the sum of its proper divisors (161038765884).

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

159644198025 is an frugal number, since it uses more digits than its factorization.

159644198025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 159644198025 in words is "one hundred fifty-nine billion, six hundred forty-four million, one hundred ninety-eight thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 169 195 225 325 351 405 507 585 675 683 845 975 1053 1521 1755 2025 2049 2535 2925 3415 4225 4563 5265 6147 7605 8775 8879 10245 12675 13689 17075 18441 22815 26325 26637 30735 38025 44395 51225 55323 68445 79911 92205 114075 115427 133185 153675 221975 239733 276615 342225 346281 399555 461025 466489 577135 665925 719199 1038843 1198665 1383075 1399467 1731405 1997775 2332445 2885675 3116529 3595995 4198401 5194215 5993325 6064357 6997335 8657025 9349587 11662225 12595203 15582645 17979975 18193071 20992005 25971075 30321785 34986675 37785609 46747935 54579213 62976015 77913225 78836641 90965355 104960025 151608925 163737639 188928045 233739675 236509923 272896065 314880075 394183205 454826775 491212917 709529769 818688195 944640225 1182549615 1364480325 1970916025 2128589307 2456064585 3547648845 4093440975 5912748075 6385767921 10642946535 12280322925 17738244225 31928839605 53214732675 159644198025