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56695903584 = 2531761956123
BaseRepresentation
bin110100110011010101…
…101101010101100000
312102100020100022112220
4310303111231111200
51412103122403314
642013513551040
74044656141355
oct646325552540
9172306308486
1056695903584
11220543a5571
12aba3415480
135467072458
142a5bb2c62c
15171c6413a9
hexd3356d560

56695903584 has 96 divisors (see below), whose sum is σ = 157838647680. Its totient is φ = 17757898752.

The previous prime is 56695903571. The next prime is 56695903609. The reversal of 56695903584 is 48530959665.

56695903584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 982147 + ... + 1038269.

It is an arithmetic number, because the mean of its divisors is an integer number (1644152580).

Almost surely, 256695903584 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 56695903584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78919323840).

56695903584 is an abundant number, since it is smaller than the sum of its proper divisors (101142744096).

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

56695903584 is a wasteful number, since it uses less digits than its factorization.

56695903584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56772 (or 56764 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 56695903584 in words is "fifty-six billion, six hundred ninety-five million, nine hundred three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 619 816 1238 1632 1857 2476 3714 4952 7428 9904 10523 14856 19808 21046 29712 31569 42092 56123 59424 63138 84184 112246 126276 168368 168369 224492 252552 336736 336738 448984 505104 673476 897968 954091 1010208 1346952 1795936 1908182 2693904 2862273 3816364 5387808 5724546 7632728 11449092 15265456 22898184 30530912 34740137 45796368 69480274 91592736 104220411 138960548 208440822 277921096 416881644 555842192 590582329 833763288 1111684384 1181164658 1667526576 1771746987 2362329316 3335053152 3543493974 4724658632 7086987948 9449317264 14173975896 18898634528 28347951792 56695903584