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57556157932 = 227213375311519
BaseRepresentation
bin110101100110100111…
…010100010111101100
312111120012001202200001
4311212213110113230
51420333334023212
642235124114044
74105203161500
oct654647242754
9174505052601
1057556157932
1122455a50379
12b1a3535924
135573360cb0
142b000a0300
15176ce1b657
hexd669d45ec

57556157932 has 144 divisors (see below), whose sum is σ = 132047677440. Its totient is φ = 21734189568.

The previous prime is 57556157903. The next prime is 57556157951. The reversal of 57556157932 is 23975165575.

It is a happy number.

It is a super-2 number, since 2×575561579322 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4990869 + ... + 5002387.

It is an arithmetic number, because the mean of its divisors is an integer number (916997760).

Almost surely, 257556157932 is an apocalyptic number.

57556157932 is a gapful number since it is divisible by the number (52) 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 57556157932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66023838720).

57556157932 is an abundant number, since it is smaller than the sum of its proper divisors (74491519508).

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

57556157932 is a wasteful number, since it uses less digits than its factorization.

57556157932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11640 (or 11631 counting only the distinct ones).

The product of its digits is 9922500, while the sum is 55.

The spelling of 57556157932 in words is "fifty-seven billion, five hundred fifty-six million, one hundred fifty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 37 49 52 53 74 91 98 106 148 182 196 212 259 364 371 481 518 637 689 742 962 1036 1274 1378 1484 1813 1924 1961 2548 2597 2756 3367 3626 3922 4823 5194 6734 7252 7844 9646 10388 11519 13468 13727 19292 23038 23569 25493 27454 33761 46076 47138 50986 54908 67522 80633 94276 96089 101972 135044 149747 161266 178451 192178 299494 322532 356902 384356 426203 564431 598988 610507 713804 852406 1048229 1128862 1221014 1249157 1704812 2096458 2257724 2442028 2498314 2983421 4192916 4273549 4996628 5540639 5966842 7337603 7936591 8547098 11081278 11933684 14675206 15873182 17094196 20883947 22162556 22588759 29350412 29914843 31746364 38784473 41767894 45177518 55556137 59829686 77568946 83535788 90355036 111112274 119659372 155137892 158121313 222224548 271491311 293653867 316242626 388892959 542982622 587307734 632485252 777785918 1085965244 1106849191 1174615468 1555571836 2055577069 2213698382 4111154138 4427396764 8222308276 14389039483 28778078966 57556157932