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23158891328 = 264171197631
BaseRepresentation
bin10101100100011000…
…001010001101000000
32012202222112120111212
4111210120022031000
5334412134010303
614350011225252
71446620220416
oct254430121500
965688476455
1023158891328
119904654911
1245a3a48228
132250c820c1
141199a4d2b6
15908248ad8
hex56460a340

23158891328 has 112 divisors (see below), whose sum is σ = 48058230528. Its totient is φ = 11063808000.

The previous prime is 23158891319. The next prime is 23158891339. The reversal of 23158891328 is 82319885132.

It is a happy number.

It is a super-2 number, since 2×231588913282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36701573 + ... + 36702203.

It is an arithmetic number, because the mean of its divisors is an integer number (429091344).

Almost surely, 223158891328 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 23158891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24029115264).

23158891328 is an abundant number, since it is smaller than the sum of its proper divisors (24899339200).

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

23158891328 is a wasteful number, since it uses less digits than its factorization.

23158891328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 942 counting only the distinct ones).

The product of its digits is 829440, while the sum is 50.

The spelling of 23158891328 in words is "twenty-three billion, one hundred fifty-eight million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 64 71 82 142 164 197 284 328 394 568 631 656 788 1136 1262 1312 1576 2272 2524 2624 2911 3152 4544 5048 5822 6304 8077 10096 11644 12608 13987 16154 20192 23288 25871 27974 32308 40384 44801 46576 51742 55948 64616 89602 93152 103484 111896 124307 129232 179204 186304 206968 223792 248614 258464 358408 413936 447584 497228 516928 573467 716816 827872 895168 994456 1146934 1433632 1655744 1836841 1988912 2293868 2867264 3673682 3977824 4587736 5096587 7347364 7955648 8825797 9175472 10193174 14694728 17651594 18350944 20386348 29389456 35303188 36701888 40772696 58778912 70606376 81545392 117557824 141212752 163090784 282425504 326181568 361857677 564851008 723715354 1447430708 2894861416 5789722832 11579445664 23158891328