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57084084680 = 2357271940507
BaseRepresentation
bin110101001010011110…
…100000000111001000
312110100021202221220112
4311022132200013020
51413402011202210
642120222013452
74060411466600
oct651236400710
9173307687815
1057084084680
1122233528797
12b091417288
1354c96062cc
142a974d7c00
15174176cd05
hexd4a7a01c8

57084084680 has 96 divisors (see below), whose sum is σ = 149620348800. Its totient is φ = 19543982976.

The previous prime is 57084084667. The next prime is 57084084689. The reversal of 57084084680 is 8648048075.

It is not an unprimeable number, because it can be changed into a prime (57084084689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388987 + ... + 1429493.

It is an arithmetic number, because the mean of its divisors is an integer number (1558545300).

Almost surely, 257084084680 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 57084084680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74810174400).

57084084680 is an abundant number, since it is smaller than the sum of its proper divisors (92536264120).

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

57084084680 is a wasteful number, since it uses less digits than its factorization.

57084084680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41251 (or 41240 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 57084084680 in words is "fifty-seven billion, eighty-four million, eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 719 980 1438 1960 2876 3595 5033 5752 7190 10066 14380 20132 25165 28760 35231 40264 40507 50330 70462 81014 100660 140924 162028 176155 201320 202535 281848 283549 324056 352310 405070 567098 704620 810140 1134196 1409240 1417745 1620280 1984843 2268392 2835490 3969686 5670980 7939372 9924215 11341960 15878744 19848430 29124533 39696860 58249066 79393720 116498132 145622665 203871731 232996264 291245330 407743462 582490660 815486924 1019358655 1164981320 1427102117 1630973848 2038717310 2854204234 4077434620 5708408468 7135510585 8154869240 11416816936 14271021170 28542042340 57084084680