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23062333728 = 2537246310589
BaseRepresentation
bin10101011110100111…
…110100100100100000
32012112020211221101110
4111132213310210200
5334212424134403
614332241503320
71444335413400
oct253647644440
965466757343
1023062333728
1198650a4745
124577641b40
132236c75425
14118acb6800
158eea24103
hex55e9f4920

23062333728 has 144 divisors (see below), whose sum is σ = 70581248640. Its totient is φ = 6574385664.

The previous prime is 23062333727. The next prime is 23062333757. The reversal of 23062333728 is 82733326032.

It is not an unprimeable number, because it can be changed into a prime (23062333727) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2172658 + ... + 2183246.

It is an arithmetic number, because the mean of its divisors is an integer number (490147560).

Almost surely, 223062333728 is an apocalyptic number.

23062333728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23062333728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35290624320).

23062333728 is an abundant number, since it is smaller than the sum of its proper divisors (47518914912).

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

23062333728 is a wasteful number, since it uses less digits than its factorization.

23062333728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11079 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The spelling of 23062333728 in words is "twenty-three billion, sixty-two million, three hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 463 588 672 784 926 1176 1389 1568 1852 2352 2778 3241 3704 4704 5556 6482 7408 9723 10589 11112 12964 14816 19446 21178 22224 22687 25928 31767 38892 42356 44448 45374 51856 63534 68061 74123 77784 84712 90748 103712 127068 136122 148246 155568 169424 181496 222369 254136 272244 296492 311136 338848 362992 444738 508272 518861 544488 592984 725984 889476 1016544 1037722 1088976 1185968 1556583 1778952 2075444 2177952 2371936 3113166 3557904 4150888 4902707 6226332 7115808 8301776 9805414 12452664 14708121 16603552 19610828 24905328 29416242 34318949 39221656 49810656 58832484 68637898 78443312 102956847 117664968 137275796 156886624 205913694 235329936 240232643 274551592 411827388 470659872 480465286 549103184 720697929 823654776 960930572 1098206368 1441395858 1647309552 1921861144 2882791716 3294619104 3843722288 5765583432 7687444576 11531166864 23062333728