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69957605025 = 3252721122292
BaseRepresentation
bin100000100100111001…
…1000101011010100001
320200120110120112220100
41001021303011122201
52121233121330100
652045454133013
75024420555100
oct1011163053241
9220513515810
1069957605025
112773a276100
12116847b1169
13679b722979
14355913c037
151c46a39400
hex1049cc56a1

69957605025 has 243 divisors, whose sum is σ = 160917436953. Its totient is φ = 28946332800.

The previous prime is 69957604949. The next prime is 69957605033. The reversal of 69957605025 is 52050675996.

It is a happy number.

The square root of 69957605025 is 264495.

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

69957605025 is a `hidden beast` number, since 6 + 9 + 9 + 5 + 7 + 605 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9547830369 + 60409774656 = 97713^2 + 245784^2 .

It is not a de Polignac number, because 69957605025 - 27 = 69957604897 is a prime.

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, 305491611 + ... + 305491839.

Almost surely, 269957605025 is an apocalyptic number.

69957605025 is the 264495-th square number.

69957605025 is the 132248-th centered octagonal number.

It is an amenable number.

69957605025 is an abundant number, since it is smaller than the sum of its proper divisors (90959831928).

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

69957605025 is a wasteful number, since it uses less digits than its factorization.

69957605025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 69957605025 in words is "sixty-nine billion, nine hundred fifty-seven million, six hundred five thousand, twenty-five".