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475830938025 = 3452153292
BaseRepresentation
bin1101110110010011011…
…10111110100110101001
31200111012110212011010000
412323021232332212221
530244000210004100
61002332124213213
746243351144662
oct6731156764651
91614173764100
10475830938025
11173887183513
127827699a209
1335b41b0a381
141905d37a369
15c59dd99900
hex6ec9bbe9a9

475830938025 has 45 divisors (see below), whose sum is σ = 881460884821. Its totient is φ = 253759944960.

The previous prime is 475830937943. The next prime is 475830938029. The reversal of 475830938025 is 520839038574.

The square root of 475830938025 is 689805.

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

475830938025 is a `hidden beast` number, since 4 + 7 + 583 + 0 + 9 + 38 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159586667289 + 316244270736 = 399483^2 + 562356^2 .

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

It is not a de Polignac number, because 475830938025 - 229 = 475294067113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (475830938029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31033561 + ... + 31048889.

Almost surely, 2475830938025 is an apocalyptic number.

475830938025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

475830938025 is the 689805-th square number.

475830938025 is the 344903-rd centered octagonal number.

It is an amenable number.

475830938025 is a deficient number, since it is larger than the sum of its proper divisors (405629946796).

475830938025 is an frugal number, since it uses more digits than its factorization.

475830938025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30680 (or 15337 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 475830938025 in words is "four hundred seventy-five billion, eight hundred thirty million, nine hundred thirty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 15329 45987 76645 137961 229935 383225 413883 689805 1149675 1241649 2069415 3449025 6208245 10347075 31041225 234978241 704934723 1174891205 2114804169 3524673615 5874456025 6344412507 10574020845 17623368075 19033237521 31722062535 52870104225 95166187605 158610312675 475830938025