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252530370576 = 24310112472
BaseRepresentation
bin1110101100101111111…
…0111010100000010000
3220010211021110000000000
43223023332322200100
513114140233324301
6312002202130000
724146636506311
oct3531376724020
9803737400000
10252530370576
11981088a1100
1240b37ab0900
131aa76392ba3
14c3188ca608
156880043786
hex3acbfba810

252530370576 has 495 divisors, whose sum is σ = 824225883103. Its totient is φ = 74896176960.

The previous prime is 252530370559. The next prime is 252530370629. The reversal of 252530370576 is 675073035252.

The square root of 252530370576 is 502524.

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

252530370576 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 3 + 0 + 3 + 70 + 576 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 5372986585 + ... + 5372986631.

Almost surely, 2252530370576 is an apocalyptic number.

252530370576 is the 502524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252530370576

252530370576 is an abundant number, since it is smaller than the sum of its proper divisors (571695512527).

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

252530370576 is an frugal number, since it uses more digits than its factorization.

252530370576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 252530370576 in words is "two hundred fifty-two billion, five hundred thirty million, three hundred seventy thousand, five hundred seventy-six".