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532839692968 = 2311477112971399
BaseRepresentation
bin1111100000011111011…
…10000111101010101000
31212221100111212222001021
413300033232013222220
532212223430133333
61044441055502224
753332156442422
oct7601756075250
91787314788037
10532839692968
11195a8112a920
1287326b27974
133b328929c6b
141bb0a865812
15dcd8bd782d
hex7c0fb87aa8

532839692968 has 128 divisors (see below), whose sum is σ = 1130443776000. Its totient is φ = 233360870400.

The previous prime is 532839692951. The next prime is 532839692977. The reversal of 532839692968 is 869296938235.

It is a junction number, because it is equal to n+sod(n) for n = 532839692897 and 532839692906.

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, 380871133 + ... + 380872531.

It is an arithmetic number, because the mean of its divisors is an integer number (8831592000).

Almost surely, 2532839692968 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 532839692968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565221888000).

532839692968 is an abundant number, since it is smaller than the sum of its proper divisors (597604083032).

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

532839692968 is a wasteful number, since it uses less digits than its factorization.

532839692968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2827 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 70.

The spelling of 532839692968 in words is "five hundred thirty-two billion, eight hundred thirty-nine million, six hundred ninety-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 47 71 88 94 142 188 284 376 517 568 781 1034 1297 1399 1562 2068 2594 2798 3124 3337 4136 5188 5596 6248 6674 10376 11192 13348 14267 15389 26696 28534 30778 36707 57068 60959 61556 65753 73414 92087 99329 114136 121918 123112 131506 146828 184174 198658 243836 263012 293656 368348 397316 487672 526024 670549 723283 736696 794632 1012957 1092619 1341098 1446566 1814503 2025914 2185238 2682196 2893132 3629006 4051828 4328089 4370476 4668463 5364392 5786264 7258012 8103656 8656178 8740952 9336926 14516024 17312356 18673852 19959533 34624712 37347704 39919066 47608979 51353093 79838132 85281641 95217958 102706186 128829713 159676264 170563282 190435916 205412372 257659426 341126564 380871832 410824744 515318852 682253128 938098051 1030637704 1417126843 1876196102 2834253686 3752392204 5668507372 6054996511 7504784408 11337014744 12109993022 24219986044 48439972088 66604961621 133209923242 266419846484 532839692968