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57745927272 = 233113475931063
BaseRepresentation
bin110101110001111011…
…001110110001101000
312112001102011001021010
4311301323032301220
51421230424133042
642310023343520
74112666166045
oct656173166150
9175042131233
1057745927272
1122543085940
12b236bb1ba0
1355a3775747
142b1b37c1cc
15177e90459c
hexd71ecec68

57745927272 has 128 divisors (see below), whose sum is σ = 158357928960. Its totient is φ = 17402526720.

The previous prime is 57745927223. The next prime is 57745927273. The reversal of 57745927272 is 27272954775.

It is a super-2 number, since 2×577459272722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57745927273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54323013 + ... + 54324075.

It is an arithmetic number, because the mean of its divisors is an integer number (1237171320).

Almost surely, 257745927272 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 57745927272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79178964480).

57745927272 is an abundant number, since it is smaller than the sum of its proper divisors (100612001688).

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

57745927272 is a wasteful number, since it uses less digits than its factorization.

57745927272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2019 counting only the distinct ones).

The product of its digits is 17287200, while the sum is 57.

The spelling of 57745927272 in words is "fifty-seven billion, seven hundred forty-five million, nine hundred twenty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 347 593 694 1041 1063 1186 1388 1779 2082 2126 2372 2776 3189 3558 3817 4164 4252 4744 6378 6523 7116 7634 8328 8504 11451 11693 12756 13046 14232 15268 19569 22902 23386 25512 26092 30536 35079 39138 45804 46772 52184 70158 78276 91608 93544 140316 156552 205771 280632 368861 411542 617313 630359 737722 823084 1106583 1234626 1260718 1475444 1646168 1891077 2213166 2263481 2469252 2521436 2950888 3782154 4057471 4426332 4526962 4938504 5042872 6790443 6933949 7564308 8114942 8852664 9053924 12172413 13580886 13867898 15128616 16229884 18107848 20801847 24344826 27161772 27735796 32459768 41603694 48689652 54323544 55471592 83207388 97379304 166414776 218734573 437469146 656203719 874938292 1312407438 1749876584 2406080303 2624814876 4812160606 5249629752 7218240909 9624321212 14436481818 19248642424 28872963636 57745927272