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57678270288 = 24329167248117
BaseRepresentation
bin110101101101111001…
…001000111101010000
312111212200211201022220
4311231321020331100
51421111114122123
642255205301040
74111215131262
oct655571107520
9174780751286
1057678270288
1122508975181
12b218404780
135592747522
142b123a9b32
1517789dcce3
hexd6de48f50

57678270288 has 80 divisors (see below), whose sum is σ = 155063825280. Its totient is φ = 18451890688.

The previous prime is 57678270173. The next prime is 57678270301. The reversal of 57678270288 is 88207287675.

It is a congruent number.

It is an unprimeable number.

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, 108406 + ... + 356522.

It is an arithmetic number, because the mean of its divisors is an integer number (1938297816).

Almost surely, 257678270288 is an apocalyptic number.

57678270288 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57678270288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77531912640).

57678270288 is an abundant number, since it is smaller than the sum of its proper divisors (97385554992).

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

57678270288 is a wasteful number, since it uses less digits than its factorization.

57678270288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248324 (or 248318 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 60.

The spelling of 57678270288 in words is "fifty-seven billion, six hundred seventy-eight million, two hundred seventy thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 167 174 232 334 348 464 501 668 696 1002 1336 1392 2004 2672 4008 4843 8016 9686 14529 19372 29058 38744 58116 77488 116232 232464 248117 496234 744351 992468 1488702 1984936 2977404 3969872 5954808 7195393 11909616 14390786 21586179 28781572 41435539 43172358 57563144 82871078 86344716 115126288 124306617 165742156 172689432 248613234 331484312 345378864 497226468 662968624 994452936 1201630631 1988905872 2403261262 3604891893 4806522524 7209783786 9613045048 14419567572 19226090096 28839135144 57678270288