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57214062456 = 23343227283863
BaseRepresentation
bin110101010010001110…
…010100111101111000
312110200100100111220020
4311102032110331320
51414133244444311
642141143530440
74063550335545
oct652216247570
9173610314806
1057214062456
112229a934a41
12b108a59a20
13551a514935
142aaa88dbcc
15174cd94c06
hexd52394f78

57214062456 has 128 divisors (see below), whose sum is σ = 147696721920. Its totient is φ = 18458826624.

The previous prime is 57214062449. The next prime is 57214062457. The reversal of 57214062456 is 65426041275.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57214062457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66296281 + ... + 66297143.

It is an arithmetic number, because the mean of its divisors is an integer number (1153880640).

Almost surely, 257214062456 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 57214062456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73848360960).

57214062456 is an abundant number, since it is smaller than the sum of its proper divisors (90482659464).

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

57214062456 is a wasteful number, since it uses less digits than its factorization.

57214062456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 57214062456 in words is "fifty-seven billion, two hundred fourteen million, sixty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 227 258 283 344 454 516 566 681 849 863 908 1032 1132 1362 1698 1726 1816 2264 2589 2724 3396 3452 5178 5448 6792 6904 9761 10356 12169 19522 20712 24338 29283 36507 37109 39044 48676 58566 64241 73014 74218 78088 97352 111327 117132 128482 146028 148436 192723 195901 222654 234264 244229 256964 292056 296872 385446 391802 445308 488458 513928 587703 732687 770892 783604 890616 976916 1175406 1465374 1541784 1567208 1953832 2350812 2762363 2930748 4701624 5524726 5861496 8287089 8423743 10501847 11049452 16574178 16847486 21003694 22098904 25271229 31505541 33148356 33694972 42007388 50542458 55439983 63011082 66296712 67389944 84014776 101084916 110879966 126022164 166319949 202169832 221759932 252044328 332639898 443519864 665279796 1330559592 2383919269 4767838538 7151757807 9535677076 14303515614 19071354152 28607031228 57214062456