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57256700260560 = 24351127921151661
BaseRepresentation
bin11010000010011000111010…
…10001111011000011010000
321111201200112212221121012220
431001030131101323003100
530001043210231314220
6321435210500221040
715026442260044413
oct1501143521730320
9244650485847186
1057256700260560
11172754806885a9
12650889509a780
1325c438c2a70b8
14101d34c065b7a
156945a14d5540
hex34131d47b0d0

57256700260560 has 80 divisors (see below), whose sum is σ = 177511516035840. Its totient is φ = 15267098974720.

The previous prime is 57256700260537. The next prime is 57256700260567. The reversal of 57256700260560 is 6506200765275.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×572567002605602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57256700260567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7868871 + ... + 13282790.

It is an arithmetic number, because the mean of its divisors is an integer number (2218893950448).

Almost surely, 257256700260560 is an apocalyptic number.

It is an amenable number.

57256700260560 is an abundant number, since it is smaller than the sum of its proper divisors (120254815775280).

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

57256700260560 is a wasteful number, since it uses less digits than its factorization.

57256700260560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21162956 (or 21162950 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 51.

The spelling of 57256700260560 in words is "fifty-seven trillion, two hundred fifty-six billion, seven hundred million, two hundred sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11279 22558 33837 45116 56395 67674 90232 112790 135348 169185 180464 225580 270696 338370 451160 541392 676740 902320 1353480 2706960 21151661 42303322 63454983 84606644 105758305 126909966 169213288 211516610 253819932 317274915 338426576 423033220 507639864 634549830 846066440 1015279728 1269099660 1692132880 2538199320 5076398640 238569584419 477139168838 715708753257 954278337676 1192847922095 1431417506514 1908556675352 2385695844190 2862835013028 3578543766285 3817113350704 4771391688380 5725670026056 7157087532570 9542783376760 11451340052112 14314175065140 19085566753520 28628350130280 57256700260560