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182942531640625 = 58172192672
BaseRepresentation
bin101001100110001010100000…
…100111001101110100110001
3212222202010122120120200200011
4221212022200213031310301
5142434312301100000000
61445030345552254521
753351106322451521
oct5146124047156461
9788663576520604
10182942531640625
115332254589a009
12186275a3841441
137b10539707c83
143326674135681
151623b4d5c52ba
hexa662a09cdd31

182942531640625 has 243 divisors, whose sum is σ = 260262864303939. Its totient is φ = 128547540000000.

The previous prime is 182942531640613. The next prime is 182942531640641. The reversal of 182942531640625 is 526046135249281.

The square root of 182942531640625 is 13525625.

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

It can be written as a sum of positive squares in 13 ways, for example, as 44106082020081 + 138836449620544 = 6641241^2 + 11782888^2 .

It is not a de Polignac number, because 182942531640625 - 25 = 182942531640593 is a prime.

It is a super-3 number, since 3×1829425316406253 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 182942531640625.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2730485546842 + ... + 2730485546908.

Almost surely, 2182942531640625 is an apocalyptic number.

182942531640625 is the 13525625-th square number.

182942531640625 is the 6762813-rd centered octagonal number.

It is an amenable number.

182942531640625 is a deficient number, since it is larger than the sum of its proper divisors (77320332663314).

182942531640625 is an frugal number, since it uses more digits than its factorization.

182942531640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 58.

The spelling of 182942531640625 in words is "one hundred eighty-two trillion, nine hundred forty-two billion, five hundred thirty-one million, six hundred forty thousand, six hundred twenty-five".