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57678372654 = 23721735691993
BaseRepresentation
bin110101101101111001…
…100001111100101110
312111212201000220202020
4311231321201330232
51421111130411104
642255211411010
74111216035600
oct655571417456
9174781026666
1057678372654
1122508a35081
12b218453a66
135592781cb6
142b123d5170
151778a0d2d9
hexd6de61f2e

57678372654 has 96 divisors (see below), whose sum is σ = 135271205280. Its totient is φ = 16347276288.

The previous prime is 57678372641. The next prime is 57678372691. The reversal of 57678372654 is 45627387675.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28939482 + ... + 28941474.

It is an arithmetic number, because the mean of its divisors is an integer number (1409075055).

Almost surely, 257678372654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57678372654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67635602640).

57678372654 is an abundant number, since it is smaller than the sum of its proper divisors (77592832626).

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

57678372654 is a wasteful number, since it uses less digits than its factorization.

57678372654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2747 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 60.

The spelling of 57678372654 in words is "fifty-seven billion, six hundred seventy-eight million, three hundred seventy-two thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 173 294 346 519 569 1038 1138 1211 1707 1993 2422 3414 3633 3983 3986 5979 7266 7966 8477 11949 11958 13951 16954 23898 25431 27881 27902 41853 50862 55762 83643 83706 97657 98437 167286 195314 196874 292971 295311 344789 585942 590622 689059 689578 1034367 1134017 1378118 2067177 2068734 2268034 2413523 3402051 4134354 4823413 4827046 6804102 7240569 7938119 9646826 14470239 14481138 15876238 16894661 23814357 28940478 33789322 47628714 50683983 55566833 101367966 111133666 166700499 196184941 333400998 392369882 588554823 1177109646 1373294587 2746589174 4119883761 8239767522 9613062109 19226124218 28839186327 57678372654