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85655596768 = 257566967453
BaseRepresentation
bin100111111000101111…
…0001010111011100000
322012002111010011020221
41033301132022323200
52400410313044033
6103203304412424
76121424362630
oct1176136127340
9265074104227
1085655596768
11333653956a5
1214725a77114
138100a56c91
144207d366c0
152364c7612d
hex13f178aee0

85655596768 has 48 divisors (see below), whose sum is σ = 192761946720. Its totient is φ = 36702521856.

The previous prime is 85655596753. The next prime is 85655596841. The reversal of 85655596768 is 86769555658.

It is a junction number, because it is equal to n+sod(n) for n = 85655596697 and 85655596706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1236130 + ... + 1303582.

It is an arithmetic number, because the mean of its divisors is an integer number (4015873890).

Almost surely, 285655596768 is an apocalyptic number.

It is an amenable number.

85655596768 is an abundant number, since it is smaller than the sum of its proper divisors (107106349952).

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

85655596768 is a wasteful number, since it uses less digits than its factorization.

85655596768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73139 (or 73131 counting only the distinct ones).

The product of its digits is 544320000, while the sum is 70.

The spelling of 85655596768 in words is "eighty-five billion, six hundred fifty-five million, five hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 5669 11338 22676 39683 45352 67453 79366 90704 134906 158732 181408 269812 317464 472171 539624 634928 944342 1079248 1269856 1888684 2158496 3777368 7554736 15109472 382391057 764782114 1529564228 2676737399 3059128456 5353474798 6118256912 10706949596 12236513824 21413899192 42827798384 85655596768