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23011093938 = 23721932831433
BaseRepresentation
bin10101011011100100…
…010110110110110010
32012101200102200121110
4111123210112312302
5334111320001223
614323211334150
71443144033300
oct253344266662
965350380543
1023011093938
119839187508
124562451356
132229474921
141184179270
158ea2a1d93
hex55b916db2

23011093938 has 96 divisors (see below), whose sum is σ = 54041242176. Its totient is φ = 6512873472.

The previous prime is 23011093901. The next prime is 23011093939. The reversal of 23011093938 is 83939011032.

It is a junction number, because it is equal to n+sod(n) for n = 23011093896 and 23011093905.

It is not an unprimeable number, because it can be changed into a prime (23011093939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16057270 + ... + 16058702.

It is an arithmetic number, because the mean of its divisors is an integer number (562929606).

Almost surely, 223011093938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23011093938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27020621088).

23011093938 is an abundant number, since it is smaller than the sum of its proper divisors (31030148238).

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

23011093938 is a wasteful number, since it uses less digits than its factorization.

23011093938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 23011093938 in words is "twenty-three billion, eleven million, ninety-three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 193 283 294 386 566 579 849 1158 1351 1433 1698 1981 2702 2866 3962 4053 4299 5943 8106 8598 9457 10031 11886 13867 18914 20062 27734 28371 30093 41601 54619 56742 60186 70217 83202 109238 140434 163857 210651 276569 327714 382333 405539 421302 553138 764666 811078 829707 1146999 1216617 1659414 1935983 2293998 2433234 2676331 2838773 3871966 5352662 5677546 5807949 8028993 8516319 11615898 13551881 16057986 17032638 19871411 27103762 39742822 40655643 59614233 78269027 81311286 119228466 156538054 234807081 469614162 547883189 1095766378 1643649567 3287299134 3835182323 7670364646 11505546969 23011093938