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500111005056 = 27313601166693
BaseRepresentation
bin1110100011100001111…
…00000101010110000000
31202210212121002100112220
413101300330011112000
531143211404130211
61021425310251040
751063134255265
oct7216074052600
91683777070486
10500111005056
11183106696213
1280b121b6a80
1338211145740
141a2c3c7b26c
15d02075d806
hex7470f05580

500111005056 has 128 divisors (see below), whose sum is σ = 1432994972640. Its totient is φ = 153623347200.

The previous prime is 500111005039. The next prime is 500111005099. The reversal of 500111005056 is 650500111005.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5001110050562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2916846 + ... + 3083538.

Almost surely, 2500111005056 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 500111005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716497486320).

500111005056 is an abundant number, since it is smaller than the sum of its proper divisors (932883967584).

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

500111005056 is a wasteful number, since it uses less digits than its factorization.

500111005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167324 (or 167312 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 500111005056 in words is "five hundred billion, one hundred eleven million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 601 624 832 1202 1248 1664 1803 2404 2496 3606 4808 4992 7212 7813 9616 14424 15626 19232 23439 28848 31252 38464 46878 57696 62504 76928 93756 115392 125008 166693 187512 230784 250016 333386 375024 500032 500079 666772 750048 1000064 1000158 1333544 1500096 2000316 2167009 2667088 3000192 4000632 4334018 5334176 6501027 8001264 8668036 10668352 13002054 16002528 17336072 21336704 26004108 32005056 34672144 52008216 64010112 69344288 100182493 104016432 138688576 200364986 208032864 277377152 300547479 400729972 416065728 601094958 801459944 832131456 1202189916 1302372409 1602919888 2404379832 2604744818 3205839776 3907117227 4808759664 5209489636 6411679552 7814234454 9617519328 10418979272 12823359104 15628468908 19235038656 20837958544 31256937816 38470077312 41675917088 62513875632 83351834176 125027751264 166703668352 250055502528 500111005056