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56801082141 = 3319236178919
BaseRepresentation
bin110100111001100110…
…111011101100011101
312102121120020221102000
4310321212323230131
51412312034112031
642032152152513
74050404142366
oct647146735435
9172546227360
1056801082141
11220a88037a1
12b012698739
135482aaa09b
142a6baaab6d
1517269ba3e6
hexd399bbb1d

56801082141 has 64 divisors (see below), whose sum is σ = 93946368000. Its totient is φ = 33751650240.

The previous prime is 56801082131. The next prime is 56801082197. The reversal of 56801082141 is 14128010865.

56801082141 is a `hidden beast` number, since 568 + 0 + 1 + 0 + 82 + 14 + 1 = 666.

It is not a de Polignac number, because 56801082141 - 222 = 56796887837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56801082096 and 56801082105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56801082131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680280 + ... + 759198.

It is an arithmetic number, because the mean of its divisors is an integer number (1467912000).

Almost surely, 256801082141 is an apocalyptic number.

It is an amenable number.

56801082141 is a deficient number, since it is larger than the sum of its proper divisors (37145285859).

56801082141 is a wasteful number, since it uses less digits than its factorization.

56801082141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79031 (or 79025 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 56801082141 in words is "fifty-six billion, eight hundred one million, eighty-two thousand, one hundred forty-one".

Divisors: 1 3 9 19 23 27 57 61 69 171 183 207 437 513 549 621 1159 1311 1403 1647 3477 3933 4209 10431 11799 12627 26657 31293 37881 78919 79971 236757 239913 710271 719739 1499461 1815137 2130813 4498383 4814059 5445411 13495149 14442177 16336233 34487603 40485447 43326531 49008699 91467121 103462809 110723357 129979593 274401363 310388427 332170071 823204089 931165281 996510213 2103743783 2469612267 2989530639 6311231349 18933694047 56801082141