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57727747264 = 2611116370507
BaseRepresentation
bin110101110000110101…
…111000010011000000
312112000010221101222111
4311300311320103000
51421211300403024
642304133545104
74112355520105
oct656065702300
9175003841874
1057727747264
1122533898a40
12b230aa5194
13559ca7b845
142b18ba8aac
15177d012a94
hexd70d784c0

57727747264 has 56 divisors (see below), whose sum is σ = 125076679488. Its totient is φ = 26216951040.

The previous prime is 57727747249. The next prime is 57727747283. The reversal of 57727747264 is 46274772775.

It is a junction number, because it is equal to n+sod(n) for n = 57727747199 and 57727747208.

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, 783499 + ... + 854005.

Almost surely, 257727747264 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 57727747264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62538339744).

57727747264 is an abundant number, since it is smaller than the sum of its proper divisors (67348932224).

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

57727747264 is a wasteful number, since it uses less digits than its factorization.

57727747264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71693 (or 71683 counting only the distinct ones).

The product of its digits is 32269440, while the sum is 58.

The spelling of 57727747264 in words is "fifty-seven billion, seven hundred twenty-seven million, seven hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1163 2326 4652 9304 12793 18608 25586 37216 51172 70507 74432 102344 141014 204688 282028 409376 564056 775577 818752 1128112 1551154 2256224 3102308 4512448 6204616 12409232 24818464 49636928 81999641 163999282 327998564 655997128 901996051 1311994256 1803992102 2623988512 3607984204 5247977024 7215968408 14431936816 28863873632 57727747264