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57271345400 = 23523767115513
BaseRepresentation
bin110101010101101000…
…110110000011111000
312110211100010210022202
4311111220312003320
51414242431023100
642150551405332
74065144255323
oct652550660370
9173740123282
1057271345400
112231a1aa515
12b124083848
13552934cc79
142ab43217ba
151752e0c7d5
hexd55a360f8

57271345400 has 96 divisors (see below), whose sum is σ = 138797001840. Its totient is φ = 21956520960.

The previous prime is 57271345399. The next prime is 57271345421. The reversal of 57271345400 is 454317275.

57271345400 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 2×572713454002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438044 + ... + 553556.

Almost surely, 257271345400 is an apocalyptic number.

57271345400 is a gapful number since it is divisible by the number (50) 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 57271345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69398500920).

57271345400 is an abundant number, since it is smaller than the sum of its proper divisors (81525656440).

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

57271345400 is a wasteful number, since it uses less digits than its factorization.

57271345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115633 (or 115624 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The spelling of 57271345400 in words is "fifty-seven billion, two hundred seventy-one million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 67 74 100 134 148 185 200 268 296 335 370 536 670 740 925 1340 1480 1675 1850 2479 2680 3350 3700 4958 6700 7400 9916 12395 13400 19832 24790 49580 61975 99160 115513 123950 231026 247900 462052 495800 577565 924104 1155130 2310260 2887825 4273981 4620520 5775650 7739371 8547962 11551300 15478742 17095924 21369905 23102600 30957484 34191848 38696855 42739810 61914968 77393710 85479620 106849525 154787420 170959240 193484275 213699050 286356727 309574840 386968550 427398100 572713454 773937100 854796200 1145426908 1431783635 1547874200 2290853816 2863567270 5727134540 7158918175 11454269080 14317836350 28635672700 57271345400