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929980566025 = 52725924672
BaseRepresentation
bin11011000100001110010…
…10010100101000001001
310021220102221111122012121
431202013022110220021
5110214100011103100
61551121023011241
7124121533245400
oct15420712245011
93256387448177
10929980566025
1132944786a895
121302a0739b21
1369909b085c4
1433023012637
15192ce5b751a
hexd887294a09

929980566025 has 81 divisors (see below), whose sum is σ = 1367499565479. Its totient is φ = 625550086560.

The previous prime is 929980566017. The next prime is 929980566059. The reversal of 929980566025 is 520665089929.

The square root of 929980566025 is 964355.

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

It can be written as a sum of positive squares in only one way, i.e., 334793003769 + 595187562256 = 578613^2 + 771484^2 .

It is not a de Polignac number, because 929980566025 - 23 = 929980566017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1991392842 + ... + 1991393308.

Almost surely, 2929980566025 is an apocalyptic number.

929980566025 is the 964355-th square number.

929980566025 is the 482178-th centered octagonal number.

It is an amenable number.

929980566025 is a deficient number, since it is larger than the sum of its proper divisors (437518999454).

929980566025 is an frugal number, since it uses more digits than its factorization.

929980566025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 929980566025 in words is "nine hundred twenty-nine billion, nine hundred eighty million, five hundred sixty-six thousand, twenty-five".

Divisors: 1 5 7 25 35 49 59 175 245 295 413 467 1225 1475 2065 2335 2891 3269 3481 10325 11675 14455 16345 17405 22883 24367 27553 72275 81725 87025 114415 121835 137765 170569 192871 218089 572075 609175 688825 852845 964355 1090445 1350097 1526623 1625627 4264225 4821775 5452225 6750485 7633115 8128135 10686361 11379389 12867251 33752425 38165575 40640675 53431805 56896945 64336255 79655723 90070757 267159025 284484725 321681275 398278615 450353785 630495299 759167809 1991393075 2251768925 3152476495 3795839045 5314174663 15762382475 18979195225 26570873315 37199222641 132854366575 185996113205 929980566025