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52163856227025 = 34521604992
BaseRepresentation
bin10111101110001010110000…
…00111101101101011010001
320211200211000211101220010000
423313011120013231223101
523314123034143231100
6302535424510000213
713662466662032604
oct1367053007555321
9224624024356100
1052163856227025
1115691626a27514
125a25855aa6069
132315052116baa
14cc4a5bbb833b
15606d7ce00900
hex2f71581edad1

52163856227025 has 45 divisors (see below), whose sum is σ = 96626095718251. Its totient is φ = 27820549982160.

The previous prime is 52163856226967. The next prime is 52163856227039. The reversal of 52163856227025 is 52072265836125.

The square root of 52163856227025 is 7222455.

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

52163856227025 is a `hidden beast` number, since 5 + 2 + 1 + 6 + 3 + 8 + 5 + 622 + 7 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18778988241729 + 33384867985296 = 4333473^2 + 5777964^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2k-52163856227025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 324930226 + ... + 325090724.

Almost surely, 252163856227025 is an apocalyptic number.

52163856227025 is the 7222455-th square number.

52163856227025 is the 3611228-th centered octagonal number.

It is an amenable number.

52163856227025 is a deficient number, since it is larger than the sum of its proper divisors (44462239491226).

52163856227025 is an frugal number, since it uses more digits than its factorization.

52163856227025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321020 (or 160507 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 52163856227025 in words is "fifty-two trillion, one hundred sixty-three billion, eight hundred fifty-six million, two hundred twenty-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 160499 481497 802495 1444491 2407485 4012475 4333473 7222455 12037425 13000419 21667365 36112275 65002095 108336825 325010475 25759929001 77279787003 128799645005 231839361009 386398935015 643998225025 695518083027 1159196805045 1931994675075 2086554249081 3477590415135 5795984025225 10432771245405 17387952075675 52163856227025