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57424431624 = 2337316741771
BaseRepresentation
bin110101011110110000…
…110100101000001000
312111020000012101010220
4311132300310220020
51420101123302444
642214100510040
74102013421000
oct653660645010
9174200171126
1057424431624
112239865a45a
12b1673ab320
135551c8c831
142aca7b1000
15176159b619
hexd5ec34a08

57424431624 has 128 divisors (see below), whose sum is σ = 168424704000. Its totient is φ = 16308344640.

The previous prime is 57424431611. The next prime is 57424431653. The reversal of 57424431624 is 42613442475.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353859 + ... + 1395629.

It is an arithmetic number, because the mean of its divisors is an integer number (1315818000).

Almost surely, 257424431624 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 57424431624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84212352000).

57424431624 is an abundant number, since it is smaller than the sum of its proper divisors (111000272376).

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

57424431624 is a wasteful number, since it uses less digits than its factorization.

57424431624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41968 (or 41950 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The spelling of 57424431624 in words is "fifty-seven billion, four hundred twenty-four million, four hundred thirty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 167 168 196 294 334 343 392 501 588 668 686 1002 1029 1169 1176 1336 1372 2004 2058 2338 2744 3507 4008 4116 4676 7014 8183 8232 9352 14028 16366 24549 28056 32732 41771 49098 57281 65464 83542 98196 114562 125313 167084 171843 196392 229124 250626 292397 334168 343686 458248 501252 584794 687372 877191 1002504 1169588 1374744 1754382 2046779 2339176 3508764 4093558 6140337 6975757 7017528 8187116 12280674 13951514 14327453 16374232 20927271 24561348 27903028 28654906 41854542 42982359 48830299 49122696 55806056 57309812 83709084 85964718 97660598 114619624 146490897 167418168 171929436 195321196 292981794 341812093 343858872 390642392 585963588 683624186 1025436279 1171927176 1367248372 2050872558 2392684651 2734496744 4101745116 4785369302 7178053953 8203490232 9570738604 14356107906 19141477208 28712215812 57424431624