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10938137292 = 2234293313517
BaseRepresentation
bin10100010111111011…
…01011101011001100
31001020022000221120000
422023331223223030
5134400130343132
65005214124300
7535025430045
oct121375535314
931208027500
1010938137292
114703325495
1221531b0690
1310541778b4
1475a9a98cc
1544041e87c
hex28bf6bacc

10938137292 has 120 divisors (see below), whose sum is σ = 29678270160. Its totient is φ = 3508686720.

The previous prime is 10938137269. The next prime is 10938137311. The reversal of 10938137292 is 29273183901.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3108318 + ... + 3111834.

It is an arithmetic number, because the mean of its divisors is an integer number (247318918).

Almost surely, 210938137292 is an apocalyptic number.

10938137292 is a gapful number since it is divisible by the number (12) 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 10938137292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839135080).

10938137292 is an abundant number, since it is smaller than the sum of its proper divisors (18740132868).

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

10938137292 is a wasteful number, since it uses less digits than its factorization.

10938137292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10938137292 in words is "ten billion, nine hundred thirty-eight million, one hundred thirty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 331 348 522 662 783 993 1044 1324 1566 1986 2349 2979 3132 3517 3972 4698 5958 7034 8937 9396 9599 10551 11916 14068 17874 19198 21102 26811 28797 31653 35748 38396 42204 53622 57594 63306 86391 94959 101993 107244 115188 126612 172782 189918 203986 259173 284877 305979 345564 379836 407972 518346 569754 611958 777519 917937 1036692 1139508 1164127 1223916 1555038 1835874 2328254 2753811 3110076 3492381 3671748 4656508 5507622 6984762 8261433 10477143 11015244 13969524 16522866 20954286 31431429 33045732 33759683 41908572 62862858 67519366 94294287 101279049 125725716 135038732 188588574 202558098 303837147 377177148 405116196 607674294 911511441 1215348588 1823022882 2734534323 3646045764 5469068646 10938137292