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56288097632 = 2513373799649
BaseRepresentation
bin110100011011000010…
…000011010101100000
312101021210222121221202
4310123002003111200
51410234223111012
641505225140332
74031604635624
oct643302032540
9171253877852
1056288097632
1121965188958
12aaaa92a6a8
135400729b60
142a1d8d5184
1516e6939cc2
hexd1b083560

56288097632 has 96 divisors (see below), whose sum is σ = 122903172000. Its totient is φ = 25207676928.

The previous prime is 56288097587. The next prime is 56288097643. The reversal of 56288097632 is 23679088265.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5828744 + ... + 5838392.

It is an arithmetic number, because the mean of its divisors is an integer number (1280241375).

Almost surely, 256288097632 is an apocalyptic number.

56288097632 is a gapful number since it is divisible by the number (52) 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 56288097632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61451586000).

56288097632 is an abundant number, since it is smaller than the sum of its proper divisors (66615074368).

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

56288097632 is a wasteful number, since it uses less digits than its factorization.

56288097632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10088 (or 10080 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 56288097632 in words is "fifty-six billion, two hundred eighty-eight million, ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 379 416 481 592 758 962 1184 1516 1924 3032 3848 4927 6064 7696 9649 9854 12128 14023 15392 19298 19708 28046 38596 39416 56092 77192 78832 112184 125437 154384 157664 182299 224368 250874 308768 357013 364598 448736 501748 714026 729196 1003496 1428052 1458392 2006992 2856104 2916784 3656971 4013984 4641169 5712208 5833568 7313942 9282338 11424416 14627884 18564676 29255768 37129352 47540623 58511536 74258704 95081246 117023072 135307927 148517408 190162492 270615854 380324984 541231708 760649968 1082463416 1521299936 1759003051 2164926832 3518006102 4329853664 7036012204 14072024408 28144048816 56288097632