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56017176138 = 232711173233621
BaseRepresentation
bin110100001010111000…
…100100011001001010
312100120221012101112100
4310022320210121022
51404210344114023
641422310254230
74022105066220
oct641270443112
9170527171470
1056017176138
11218362655a0
12aa34057376
135389570791
1429d5930b10
1516ccc71c43
hexd0ae2464a

56017176138 has 96 divisors (see below), whose sum is σ = 152194453632. Its totient is φ = 14465750400.

The previous prime is 56017176133. The next prime is 56017176191. The reversal of 56017176138 is 83167171065.

56017176138 is a `hidden beast` number, since 5 + 6 + 0 + 17 + 17 + 613 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56017176093 and 56017176102.

It is not an unprimeable number, because it can be changed into a prime (56017176133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122968 + ... + 356588.

It is an arithmetic number, because the mean of its divisors is an integer number (1585358892).

Almost surely, 256017176138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56017176138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76097226816).

56017176138 is an abundant number, since it is smaller than the sum of its proper divisors (96177277494).

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

56017176138 is a wasteful number, since it uses less digits than its factorization.

56017176138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233820 (or 233817 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 56017176138 in words is "fifty-six billion, seventeen million, one hundred seventy-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 173 198 231 346 462 519 693 1038 1211 1386 1557 1903 2422 3114 3633 3806 5709 7266 10899 11418 13321 17127 21798 26642 34254 39963 79926 119889 233621 239778 467242 700863 1401726 1635347 2102589 2569831 3270694 4205178 4906041 5139662 7709493 9812082 14718123 15418986 17988817 23128479 29436246 35977634 40416433 46256958 53966451 80832866 107932902 121249299 161899353 242498598 282915031 323798706 363747897 444580763 565830062 727495794 848745093 889161526 1333742289 1697490186 2546235279 2667484578 3112065341 4001226867 5092470558 6224130682 8002453734 9336196023 18672392046 28008588069 56017176138