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23705631056 = 2431735991093
BaseRepresentation
bin10110000100111101…
…110011100101010000
32021012002022211102102
4112010331303211100
5342022120143211
614520141535532
71466306352662
oct260475634520
967162284372
1023705631056
11a065235528
124716b745a8
13230a320633
14120c4d0532
1593b245a3b
hex584f73950

23705631056 has 80 divisors (see below), whose sum is σ = 48185011200. Its totient is φ = 11284116480.

The previous prime is 23705631023. The next prime is 23705631071. The reversal of 23705631056 is 65013650732.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21688046 + ... + 21689138.

It is an arithmetic number, because the mean of its divisors is an integer number (602312640).

Almost surely, 223705631056 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 23705631056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24092505600).

23705631056 is an abundant number, since it is smaller than the sum of its proper divisors (24479380144).

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

23705631056 is a wasteful number, since it uses less digits than its factorization.

23705631056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 38.

The spelling of 23705631056 in words is "twenty-three billion, seven hundred five million, six hundred thirty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 31 62 73 124 146 248 292 496 584 599 1093 1168 1198 2186 2263 2396 4372 4526 4792 8744 9052 9584 17488 18104 18569 33883 36208 37138 43727 67766 74276 79789 87454 135532 148552 159578 174908 271064 297104 319156 349816 542128 638312 654707 699632 1276624 1309414 1355537 2473459 2618828 2711074 4946918 5237656 5422148 9893836 10475312 10844296 19787672 20295917 21688592 39575344 40591834 47793611 81183668 95587222 162367336 191174444 324734672 382348888 764697776 1481601941 2963203882 5926407764 11852815528 23705631056