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10930096414992 = 24319371115929027
BaseRepresentation
bin1001111100001101110010…
…0000111010000100010000
31102200220111012201121221110
42133003130200322010100
52413034314140234432
635125114511053320
72205446656415046
oct237033440720420
942626435647843
1010930096414992
11353447852a957
1212863ab211240
1361391bc664c1
1429b03b69a396
1513e4b4790dcc
hex9f0dc83a110

10930096414992 has 160 divisors (see below), whose sum is σ = 30529281715200. Its totient is φ = 3357906015744.

The previous prime is 10930096414981. The next prime is 10930096415033. The reversal of 10930096414992 is 29941469003901.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376534783 + ... + 376563809.

It is an arithmetic number, because the mean of its divisors is an integer number (190808010720).

Almost surely, 210930096414992 is an apocalyptic number.

10930096414992 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 10930096414992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264640857600).

10930096414992 is an abundant number, since it is smaller than the sum of its proper divisors (19599185300208).

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

10930096414992 is a wasteful number, since it uses less digits than its factorization.

10930096414992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40253 (or 40247 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The spelling of 10930096414992 in words is "ten trillion, nine hundred thirty billion, ninety-six million, four hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 703 888 912 1406 1776 2109 2812 4218 5624 8436 11159 11248 16872 22318 29027 33477 33744 44636 58054 66954 87081 89272 116108 133908 174162 178544 212021 232216 267816 348324 412883 424042 464432 535632 551513 636063 696648 825766 848084 1073999 1103026 1238649 1272126 1393296 1651532 1654539 1696168 2147998 2206052 2477298 2544252 3221997 3303064 3309078 3392336 4295996 4412104 4954596 5088504 6443994 6606128 6618156 7844777 8591992 8824208 9909192 10177008 12887988 13236312 15689554 17183984 19818384 20405981 23534331 25775976 26472624 31379108 40811962 47068662 51551952 61217943 62758216 81623924 94137324 122435886 125516432 163247848 188274648 244871772 323912293 326495696 376549296 489743544 647824586 971736879 979487088 1295649172 1943473758 2591298344 3886947516 5182596688 6154333567 7773895032 11984754841 12308667134 15547790064 18463000701 23969509682 24617334268 35954264523 36926001402 47939019364 49234668536 71908529046 73852002804 95878038728 98469337072 143817058092 147704005608 191756077456 227710341979 287634116184 295408011216 455420683958 575268232368 683131025937 910841367916 1366262051874 1821682735832 2732524103748 3643365471664 5465048207496 10930096414992