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397568508480 = 2632511131795393
BaseRepresentation
bin1011100100100001110…
…11100000001001000000
31102000012020021210200100
411302100323200021000
523003210014232410
6502350200522400
740503055364313
oct5622073401100
91360166253610
10397568508480
11143676070880
1265074a80400
132b64b977870
14153572a697a
15a51d2018c0
hex5c90ee0240

397568508480 has 672 divisors, whose sum is σ = 1615812831360. Its totient is φ = 88452956160.

The previous prime is 397568508461. The next prime is 397568508503. The reversal of 397568508480 is 84805865793.

397568508480 is a `hidden beast` number, since 3 + 9 + 75 + 6 + 85 + 0 + 8 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73716664 + ... + 73722056.

It is an arithmetic number, because the mean of its divisors is an integer number (2404483380).

Almost surely, 2397568508480 is an apocalyptic number.

397568508480 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 397568508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807906415680).

397568508480 is an abundant number, since it is smaller than the sum of its proper divisors (1218244322880).

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

397568508480 is a wasteful number, since it uses less digits than its factorization.

397568508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 397568508480 in words is "three hundred ninety-seven billion, five hundred sixty-eight million, five hundred eight thousand, four hundred eighty".