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399816130560 = 2173571119139
BaseRepresentation
bin1011101000101101110…
…01100000000000000000
31102012222212120211112120
411310112321200000000
523022310412134220
6503401211124240
740612550015340
oct5642671400000
91365885524476
10399816130560
11144619867590
12655a1743680
132b919511162
14154cb9bcd20
15a6006c8a40
hex5d16e60000

399816130560 has 1152 divisors, whose sum is σ = 1691136921600. Its totient is φ = 78139883520.

The previous prime is 399816130547. The next prime is 399816130573. The reversal of 399816130560 is 65031618993.

It is an interprime number because it is at equal distance from previous prime (399816130547) and next prime (399816130573).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2876374971 + ... + 2876375109.

It is an arithmetic number, because the mean of its divisors is an integer number (1468000800).

Almost surely, 2399816130560 is an apocalyptic number.

399816130560 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 399816130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845568460800).

399816130560 is an abundant number, since it is smaller than the sum of its proper divisors (1291320791040).

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

399816130560 is a wasteful number, since it uses less digits than its factorization.

399816130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 399816130560 in words is "three hundred ninety-nine billion, eight hundred sixteen million, one hundred thirty thousand, five hundred sixty".