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57678372544 = 2613236744987
BaseRepresentation
bin110101101101111001…
…100001111011000000
312111212201000220121011
4311231321201323000
51421111130410134
642255211410304
74111216035352
oct655571417300
9174781026534
1057678372544
1122508a34a91
12b218453994
135592781c30
142b123d50d2
151778a0d264
hexd6de61ec0

57678372544 has 112 divisors (see below), whose sum is σ = 130541499648. Its totient is φ = 25082754048.

The previous prime is 57678372541. The next prime is 57678372601. The reversal of 57678372544 is 44527387675.

It is not an unprimeable number, because it can be changed into a prime (57678372541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259619 + ... + 1304605.

It is an arithmetic number, because the mean of its divisors is an integer number (1165549104).

Almost surely, 257678372544 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 57678372544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65270749824).

57678372544 is an abundant number, since it is smaller than the sum of its proper divisors (72863127104).

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

57678372544 is a wasteful number, since it uses less digits than its factorization.

57678372544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45102 (or 45092 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 58.

The spelling of 57678372544 in words is "fifty-seven billion, six hundred seventy-eight million, three hundred seventy-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 67 92 104 134 184 208 268 299 368 416 536 598 736 832 871 1072 1196 1472 1541 1742 2144 2392 3082 3484 4288 4784 6164 6968 9568 12328 13936 19136 20033 24656 27872 40066 44987 49312 55744 80132 89974 98624 160264 179948 320528 359896 584831 641056 719792 1034701 1169662 1282112 1439584 2069402 2339324 2879168 3014129 4138804 4678648 6028258 8277608 9357296 12056516 13451113 16555216 18714592 24113032 26902226 33110432 37429184 39183677 48226064 53804452 66220864 69324967 78367354 96452128 107608904 138649934 156734708 192904256 215217808 277299868 313469416 430435616 554599736 626938832 860871232 901224571 1109199472 1253877664 1802449142 2218398944 2507755328 3604898284 4436797888 7209796568 14419593136 28839186272 57678372544