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312980660960 = 25511891998089
BaseRepresentation
bin1001000110111110001…
…10011110001011100000
31002220212011022221000212
410203133012132023200
520111441022122320
6355440433433252
731416644503052
oct4433706361340
91086764287025
10312980660960
11110809472a80
12507a870b828
132368b1bbc96
14112110b58d2
15821c0909c5
hex48df19e2e0

312980660960 has 96 divisors (see below), whose sum is σ = 815700261600. Its totient is φ = 112532316160.

The previous prime is 312980660893. The next prime is 312980660969. The reversal of 312980660960 is 69066089213.

It is a junction number, because it is equal to n+sod(n) for n = 312980660899 and 312980660908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312980660969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842405 + ... + 1155684.

It is an arithmetic number, because the mean of its divisors is an integer number (8496877725).

Almost surely, 2312980660960 is an apocalyptic number.

It is an amenable number.

312980660960 is an abundant number, since it is smaller than the sum of its proper divisors (502719600640).

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

312980660960 is a wasteful number, since it uses less digits than its factorization.

312980660960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998204 (or 1998196 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The spelling of 312980660960 in words is "three hundred twelve billion, nine hundred eighty million, six hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 89 110 160 176 178 220 352 356 440 445 712 880 890 979 1424 1760 1780 1958 2848 3560 3916 4895 7120 7832 9790 14240 15664 19580 31328 39160 78320 156640 1998089 3996178 7992356 9990445 15984712 19980890 21978979 31969424 39961780 43957958 63938848 79923560 87915916 109894895 159847120 175831832 177829921 219789790 319694240 351663664 355659842 439579580 703327328 711319684 879159160 889149605 1422639368 1758318320 1778299210 1956129131 2845278736 3516636640 3556598420 3912258262 5690557472 7113196840 7824516524 9780645655 14226393680 15649033048 19561291310 28452787360 31298066096 39122582620 62596132192 78245165240 156490330480 312980660960