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12903408960 = 2635131033927
BaseRepresentation
bin11000000010001101…
…00110010101000000
31020022021001002110120
430001012212111000
5202411233041320
65532220500240
7634521111051
oct140106462500
936267032416
1012903408960
115521702152
1226013aa680
1312a8382a40
148a59c4728
15507c22440
hex3011a6540

12903408960 has 112 divisors (see below), whose sum is σ = 44119775616. Its totient is φ = 3176220672.

The previous prime is 12903408919. The next prime is 12903408977. The reversal of 12903408960 is 6980430921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504484 + ... + 529443.

It is an arithmetic number, because the mean of its divisors is an integer number (393926568).

Almost surely, 212903408960 is an apocalyptic number.

12903408960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12903408960 is an abundant number, since it is smaller than the sum of its proper divisors (31216366656).

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

12903408960 is a wasteful number, since it uses less digits than its factorization.

12903408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033960 (or 1033950 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 12903408960 in words is "twelve billion, nine hundred three million, four hundred eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 1033927 2067854 3101781 4135708 5169635 6203562 8271416 10339270 12407124 13441051 15508905 16542832 20678540 24814248 26882102 31017810 33085664 40323153 41357080 49628496 53764204 62035620 66171328 67205255 80646306 82714160 99256992 107528408 124071240 134410510 161292612 165428320 198513984 201615765 215056816 248142480 268821020 322585224 330856640 403231530 430113632 496284960 537642040 645170448 806463060 860227264 992569920 1075284080 1290340896 1612926120 2150568160 2580681792 3225852240 4301136320 6451704480 12903408960