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58372976025 = 345272132592
BaseRepresentation
bin110110010111010011…
…001110110110011001
312120200010001102110000
4312113103032312121
51424021440213100
642452143243213
74134352052400
oct662723166631
9176603042400
1058372976025
1122835028951
12b390ba9509
135673651c00
142b7a766637
1517b99b6900
hexd974ced99

58372976025 has 405 divisors, whose sum is σ = 138547577421. Its totient is φ = 24214619520.

The previous prime is 58372976023. The next prime is 58372976027. The reversal of 58372976025 is 52067927385.

The square root of 58372976025 is 241605.

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

58372976025 is a `hidden beast` number, since 5 + 8 + 3 + 7 + 29 + 7 + 602 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (58372976023) and next prime (58372976027).

It can be written as a sum of positive squares in 4 ways, for example, as 15045720921 + 43327255104 = 122661^2 + 208152^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 58372976025 - 21 = 58372976023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58372976023) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 989372446 + ... + 989372504.

Almost surely, 258372976025 is an apocalyptic number.

58372976025 is the 241605-th square number.

58372976025 is the 120803-rd centered octagonal number.

It is an amenable number.

58372976025 is an abundant number, since it is smaller than the sum of its proper divisors (80174601396).

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

58372976025 is a wasteful number, since it uses less digits than its factorization.

58372976025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 58372976025 in words is "fifty-eight billion, three hundred seventy-two million, nine hundred seventy-six thousand, twenty-five".