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57391072000 = 28532377977
BaseRepresentation
bin110101011100110001…
…100100001100000000
312111010200102112100021
4311130301210030000
51420014103301000
642210505503224
74101130030423
oct653461441400
9174120375307
1057391072000
1122380844919
12b1581a1b14
1355480ac602
142ac61a99ba
15175d6ac11a
hexd5cc64300

57391072000 has 144 divisors (see below), whose sum is σ = 149186261952. Its totient is φ = 21958041600.

The previous prime is 57391071989. The next prime is 57391072019. The reversal of 57391072000 is 27019375.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697012 + ... + 774988.

It is an arithmetic number, because the mean of its divisors is an integer number (1036015708).

Almost surely, 257391072000 is an apocalyptic number.

57391072000 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 57391072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74593130976).

57391072000 is an abundant number, since it is smaller than the sum of its proper divisors (91795189952).

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

57391072000 is an equidigital number, since it uses as much as digits as its factorization.

57391072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78031 (or 78007 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The spelling of 57391072000 in words is "fifty-seven billion, three hundred ninety-one million, seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 368 400 460 500 575 640 736 800 920 1000 1150 1280 1472 1600 1840 2000 2300 2875 2944 3200 3680 4000 4600 5750 5888 6400 7360 8000 9200 11500 14720 16000 18400 23000 29440 32000 36800 46000 73600 77977 92000 147200 155954 184000 311908 368000 389885 623816 736000 779770 1247632 1559540 1793471 1949425 2495264 3119080 3586942 3898850 4990528 6238160 7173884 7797700 8967355 9747125 9981056 12476320 14347768 15595400 17934710 19494250 19962112 24952640 28695536 31190800 35869420 38988500 44836775 49905280 57391072 62381600 71738840 77977000 89673550 99810560 114782144 124763200 143477680 155954000 179347100 224183875 229564288 249526400 286955360 311908000 358694200 448367750 459128576 499052800 573910720 623816000 717388400 896735500 1147821440 1247632000 1434776800 1793471000 2295642880 2495264000 2869553600 3586942000 5739107200 7173884000 11478214400 14347768000 28695536000 57391072000