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10292967295140 = 22351723438745409
BaseRepresentation
bin1001010111001000010010…
…1010001100100010100100
31100102222221120212212011010
42111302010222030202210
52322114444111421030
633520305054542220
72111433216305145
oct225620452144244
940388846785133
1010292967295140
11330924a779042
1211a2a19b07970
13598812c6ccba
1427827a23dacc
1512cb24ec76b0
hex95c84a8c8a4

10292967295140 has 96 divisors (see below), whose sum is σ = 31842386876160. Its totient is φ = 2471014137856.

The previous prime is 10292967295111. The next prime is 10292967295183. The reversal of 10292967295140 is 4159276929201.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 219349245 + ... + 219396164.

It is an arithmetic number, because the mean of its divisors is an integer number (331691529960).

Almost surely, 210292967295140 is an apocalyptic number.

10292967295140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10292967295140 is an abundant number, since it is smaller than the sum of its proper divisors (21549419581020).

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

10292967295140 is a wasteful number, since it uses less digits than its factorization.

10292967295140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438745461 (or 438745459 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 10292967295140 in words is "ten trillion, two hundred ninety-two billion, nine hundred sixty-seven million, two hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 690 782 1020 1173 1380 1564 1955 2346 3910 4692 5865 7820 11730 23460 438745409 877490818 1316236227 1754981636 2193727045 2632472454 4387454090 5264944908 6581181135 7458671953 8774908180 10091144407 13162362270 14917343906 20182288814 22376015859 26324724540 29834687812 30273433221 37293359765 40364577628 44752031718 50455722035 60546866442 74586719530 89504063436 100911444070 111880079295 121093732884 149173439060 151367166105 171549454919 201822888140 223760158590 302734332210 343098909838 447520317180 514648364757 605468664420 686197819676 857747274595 1029296729514 1715494549190 2058593459028 2573241823785 3430989098380 5146483647570 10292967295140