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397116790560 = 25335779716477
BaseRepresentation
bin1011100011101100000…
…00010101011100100000
31101222000202022011012000
411301312000111130200
523001243344244220
6502233303004000
740455632011410
oct5616600253440
91358022264160
10397116790560
11143464091486
1264b69739600
132b5a91c8c59
14153132bc640
15a4e3724390
hex5c76015720

397116790560 has 384 divisors, whose sum is σ = 1590556746240. Its totient is φ = 90650161152.

The previous prime is 397116790531. The next prime is 397116790573. The reversal of 397116790560 is 65097611793.

It is a happy number.

397116790560 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 1 + 6 + 79 + 0 + 560 = 666.

It is a super-2 number, since 2×3971167905602 (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 a junction number, because it is equal to n+sod(n) for n = 397116790497 and 397116790506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24093042 + ... + 24109518.

It is an arithmetic number, because the mean of its divisors is an integer number (4142074860).

Almost surely, 2397116790560 is an apocalyptic number.

397116790560 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 397116790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795278373120).

397116790560 is an abundant number, since it is smaller than the sum of its proper divisors (1193439955680).

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

397116790560 is a wasteful number, since it uses less digits than its factorization.

397116790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17305 (or 17291 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 397116790560 in words is "three hundred ninety-seven billion, one hundred sixteen million, seven hundred ninety thousand, five hundred sixty".