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397493913600 = 2113352741077
BaseRepresentation
bin1011100100011000111…
…10111100100000000000
31102000000000220222202000
411302030132330200000
523003031420213400
6502334534024000
740501161342450
oct5621436744000
91360000828660
10397493913600
11143637a51613
1265053aa8000
132b63938a794
141534b409d60
15a5168b9600
hex5c8c7bc800

397493913600 has 576 divisors, whose sum is σ = 1668686947200. Its totient is φ = 90853539840.

The previous prime is 397493913563. The next prime is 397493913601. The reversal of 397493913600 is 6319394793.

397493913600 is a `hidden beast` number, since 3 + 9 + 7 + 493 + 91 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3974939136002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (397493913601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9656262 + ... + 9697338.

It is an arithmetic number, because the mean of its divisors is an integer number (2897025950).

Almost surely, 2397493913600 is an apocalyptic number.

397493913600 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 397493913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834343473600).

397493913600 is an abundant number, since it is smaller than the sum of its proper divisors (1271193033600).

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

397493913600 is a wasteful number, since it uses less digits than its factorization.

397493913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41125 (or 41094 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 397493913600 in words is "three hundred ninety-seven billion, four hundred ninety-three million, nine hundred thirteen thousand, six hundred".