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23425526916 = 22341127732
BaseRepresentation
bin10101110100010001…
…010010110010000100
32020110120021001210000
4111310101102302010
5340433413330131
614432254201300
71456335456561
oct256421226204
966416231700
1023425526916
119a31110100
1246591b3230
13229429a73c
1411c3219868
15921866ce6
hex574452c84

23425526916 has 135 divisors (see below), whose sum is σ = 67399431253. Its totient is φ = 7089461280.

The previous prime is 23425526909. The next prime is 23425526921. The reversal of 23425526916 is 61962552432.

The square root of 23425526916 is 153054.

It is a perfect power (a square), and thus also a powerful number.

23425526916 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 552 + 6 + 91 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1490732100 + 21934794816 = 38610^2 + 148104^2 .

It is a super-2 number, since 2×234255269162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30304306 + ... + 30305078.

Almost surely, 223425526916 is an apocalyptic number.

23425526916 is the 153054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23425526916

23425526916 is an abundant number, since it is smaller than the sum of its proper divisors (43973904337).

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

23425526916 is an equidigital number, since it uses as much as digits as its factorization.

23425526916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 789 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 23425526916 in words is "twenty-three billion, four hundred twenty-five million, five hundred twenty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 773 891 1089 1188 1452 1546 1782 2178 2319 3092 3267 3564 4356 4638 6534 6957 8503 9276 9801 13068 13914 17006 19602 20871 25509 27828 34012 39204 41742 51018 62613 76527 83484 93533 102036 125226 153054 187066 229581 250452 280599 306108 374132 459162 561198 597529 688743 841797 918324 1122396 1195058 1377486 1683594 1792587 2390116 2525391 2754972 3367188 3585174 5050782 5377761 6572819 7170348 7576173 10101564 10755522 13145638 15152346 16133283 19718457 21511044 26291276 30304692 32266566 39436914 48399849 59155371 64533132 72301009 78873828 96799698 118310742 144602018 177466113 193599396 216903027 236621484 289204036 354932226 433806054 532398339 650709081 709864452 867612108 1064796678 1301418162 1952127243 2129593356 2602836324 3904254486 5856381729 7808508972 11712763458 23425526916