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56816352460 = 2257171910911527
BaseRepresentation
bin110100111010100001…
…001011110011001100
312102122121222202100101
4310322201023303030
51412324441234320
642033455340444
74050651012310
oct647241136314
9172577882311
1056816352460
112210639359a
12b017821724
135485cc578a
142a6db23b40
151727ed4c0a
hexd3a84bccc

56816352460 has 192 divisors, whose sum is σ = 153386956800. Its totient is φ = 17208225792.

The previous prime is 56816352457. The next prime is 56816352493. The reversal of 56816352460 is 6425361865.

56816352460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56816352460.

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, 4923217 + ... + 4934743.

It is an arithmetic number, because the mean of its divisors is an integer number (798890400).

Almost surely, 256816352460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56816352460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76693478400).

56816352460 is an abundant number, since it is smaller than the sum of its proper divisors (96570604340).

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

56816352460 is a wasteful number, since it uses less digits than its factorization.

56816352460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11688 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 56816352460 in words is "fifty-six billion, eight hundred sixteen million, three hundred fifty-two thousand, four hundred sixty".