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57716644716 = 223317124925169
BaseRepresentation
bin110101110000001011…
…100001101101101100
312111222101001100011000
4311300023201231230
51421200430112331
642303100000300
74112162246133
oct656013415554
9174871040130
1057716644716
11225285a5485
12b229230090
13559a6921a3
142b1751891a
15177c06d0e6
hexd702e1b6c

57716644716 has 96 divisors (see below), whose sum is σ = 158571000000. Its totient is φ = 18091966464.

The previous prime is 57716644697. The next prime is 57716644721. The reversal of 57716644716 is 61744661775.

57716644716 is a `hidden beast` number, since 5 + 7 + 7 + 166 + 4 + 471 + 6 = 666.

57716644716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×577166447162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2280580 + ... + 2305748.

It is an arithmetic number, because the mean of its divisors is an integer number (1651781250).

Almost surely, 257716644716 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 57716644716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79285500000).

57716644716 is an abundant number, since it is smaller than the sum of its proper divisors (100854355284).

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

57716644716 is a wasteful number, since it uses less digits than its factorization.

57716644716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26448 (or 26440 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 57716644716 in words is "fifty-seven billion, seven hundred sixteen million, six hundred forty-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1249 1836 2498 3747 4996 7494 11241 14988 21233 22482 25169 33723 42466 44964 50338 63699 67446 75507 84932 100676 127398 134892 151014 191097 226521 254796 302028 382194 427873 453042 573291 679563 764388 855746 906084 1146582 1283619 1359126 1711492 2293164 2567238 2718252 3850857 5134476 7701714 11552571 15403428 23105142 31436081 46210284 62872162 94308243 125744324 188616486 282924729 377232972 534413377 565849458 848774187 1068826754 1131698916 1603240131 1697548374 2137653508 3206480262 3395096748 4809720393 6412960524 9619440786 14429161179 19238881572 28858322358 57716644716