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397025122320 = 2436517232757
BaseRepresentation
bin1011100011100001000…
…10101001100000010000
31101221210100210221000000
411301300202221200100
523001101412403240
6502220230130000
740453436600151
oct5616042514020
91357710727000
10397025122320
11143417370802
1264b42ab0900
132b5932118a8
1415305059928
15a4da668430
hex5c708a9810

397025122320 has 840 divisors, whose sum is σ = 1533910245336. Its totient is φ = 95187197952.

The previous prime is 397025122289. The next prime is 397025122327. The reversal of 397025122320 is 23221520793.

It is a happy number.

397025122320 is a `hidden beast` number, since 39 + 70 + 2 + 512 + 23 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101093474304 + 295931648016 = 317952^2 + 543996^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (397025122327) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 524471382 + ... + 524472138.

Almost surely, 2397025122320 is an apocalyptic number.

397025122320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397025122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766955122668).

397025122320 is an abundant number, since it is smaller than the sum of its proper divisors (1136885123016).

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

397025122320 is a wasteful number, since it uses less digits than its factorization.

397025122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 397025122320 in words is "three hundred ninety-seven billion, twenty-five million, one hundred twenty-two thousand, three hundred twenty".