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57640241880 = 23325132947407
BaseRepresentation
bin110101101011101000…
…000100101011011000
312111210001021200011100
4311223220010223120
51421021400220010
642251330231400
74110243654264
oct655350045330
9174701250140
1057640241880
1122499460941
12b207725560
1355878c1200
142b0b30b0a4
1517754ca2c0
hexd6ba04ad8

57640241880 has 144 divisors (see below), whose sum is σ = 202849526880. Its totient is φ = 14188352256.

The previous prime is 57640241873. The next prime is 57640241977. The reversal of 57640241880 is 8814204675.

57640241880 is a `hidden beast` number, since 576 + 40 + 24 + 18 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 412864 + ... + 534543.

It is an arithmetic number, because the mean of its divisors is an integer number (1408677270).

Almost surely, 257640241880 is an apocalyptic number.

It is an amenable number.

57640241880 is an abundant number, since it is smaller than the sum of its proper divisors (145209285000).

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

57640241880 is a wasteful number, since it uses less digits than its factorization.

57640241880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947450 (or 947430 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 57640241880 in words is "fifty-seven billion, six hundred forty million, two hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 936 1014 1170 1352 1521 1560 1690 2028 2340 2535 3042 3380 4056 4680 5070 6084 6760 7605 10140 12168 15210 20280 30420 60840 947407 1894814 2842221 3789628 4737035 5684442 7579256 8526663 9474070 11368884 12316291 14211105 17053326 18948140 22737768 24632582 28422210 34106652 36948873 37896280 42633315 49265164 56844420 61581455 68213304 73897746 85266630 98530328 110846619 113688840 123162910 147795492 160111783 170533260 184744365 221693238 246325820 295590984 320223566 341066520 369488730 443386476 480335349 492651640 554233095 640447132 738977460 800558915 886772952 960670698 1108466190 1280894264 1441006047 1477954920 1601117830 1921341396 2216932380 2401676745 2882012094 3202235660 3842682792 4433864760 4803353490 5764024188 6404471320 7205030235 9606706980 11528048376 14410060470 19213413960 28820120940 57640241880