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10135489120 = 255236134493
BaseRepresentation
bin10010111000001111…
…10100101001100000
3222011100201012020221
421130013310221200
5131224141122440
64353422412424
7506111143651
oct113407645140
928140635227
1010135489120
114331245a99
121b6a431114
13c56aa8553
146c2151528
153e4c22d4a
hex25c1f4a60

10135489120 has 96 divisors (see below), whose sum is σ = 25032514752. Its totient is φ = 3870738432.

The previous prime is 10135489093. The next prime is 10135489139. The reversal of 10135489120 is 2198453101.

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, 2253594 + ... + 2258086.

It is an arithmetic number, because the mean of its divisors is an integer number (260755362).

Almost surely, 210135489120 is an apocalyptic number.

10135489120 is a gapful number since it is divisible by the number (10) 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 10135489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12516257376).

10135489120 is an abundant number, since it is smaller than the sum of its proper divisors (14897025632).

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

10135489120 is a wasteful number, since it uses less digits than its factorization.

10135489120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 10135489120 in words is "ten billion, one hundred thirty-five million, four hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 613 736 920 1226 1840 2452 3065 3680 4493 4904 6130 8986 9808 12260 14099 17972 19616 22465 24520 28198 35944 44930 49040 56396 70495 71888 89860 98080 103339 112792 140990 143776 179720 206678 225584 281980 359440 413356 451168 516695 563960 718880 826712 1033390 1127920 1653424 2066780 2255840 2754209 3306848 4133560 5508418 8267120 11016836 13771045 16534240 22033672 27542090 44067344 55084180 63346807 88134688 110168360 126693614 220336720 253387228 316734035 440673440 506774456 633468070 1013548912 1266936140 2027097824 2533872280 5067744560 10135489120