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127983765768 = 23319574348871
BaseRepresentation
bin111011100110001101…
…1010100100100001000
3110020100102000221012220
41313030123110210020
54044102321001033
6134443412134040
712150362026305
oct1671433244410
9406312027186
10127983765768
114a306554551
1220979607320
13c0b8265121
1462a17c60ac
1534e0d45bb3
hex1dcc6d4908

127983765768 has 64 divisors (see below), whose sum is σ = 336864921600. Its totient is φ = 40408061760.

The previous prime is 127983765757. The next prime is 127983765773. The reversal of 127983765768 is 867567389721.

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 15 ways as a sum of consecutive naturals, for example, 2594373 + ... + 2643243.

It is an arithmetic number, because the mean of its divisors is an integer number (5263514400).

Almost surely, 2127983765768 is an apocalyptic number.

It is an amenable number.

127983765768 is an abundant number, since it is smaller than the sum of its proper divisors (208881155832).

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

127983765768 is a wasteful number, since it uses less digits than its factorization.

127983765768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54642 (or 54638 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 69.

The spelling of 127983765768 in words is "one hundred twenty-seven billion, nine hundred eighty-three million, seven hundred sixty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 5743 11486 17229 22972 34458 45944 48871 68916 97742 109117 137832 146613 195484 218234 293226 327351 390968 436468 586452 654702 872936 928549 1172904 1309404 1857098 2618808 2785647 3714196 5571294 7428392 11142588 22285176 280666153 561332306 841998459 1122664612 1683996918 2245329224 3367993836 5332656907 6735987672 10665313814 15997970721 21330627628 31995941442 42661255256 63991882884 127983765768