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19975855790970 = 23253143933162971
BaseRepresentation
bin1001000101010111111011…
…10010011101101101111010
32121201200011201212121100200
410202223331302131231322
510104241023040302340
6110252440443543030
74131131220440622
oct442537562355572
977650151777320
1019975855790970
116401792908482
1222a755582aa76
13b1b93b165611
144d0b9d803882
152499403ab330
hex122afdc9db7a

19975855790970 has 96 divisors (see below), whose sum is σ = 53614168717824. Its totient is φ = 5154910588800.

The previous prime is 19975855790929. The next prime is 19975855791013. The reversal of 19975855790970 is 7909755857991.

19975855790970 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 58 + 557 + 9 + 0 + 9 + 7 + 0 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 19975855790970.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122491585 + ... + 122654555.

It is an arithmetic number, because the mean of its divisors is an integer number (558480924144).

Almost surely, 219975855790970 is an apocalyptic number.

19975855790970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19975855790970 is an abundant number, since it is smaller than the sum of its proper divisors (33638312926854).

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

19975855790970 is a wasteful number, since it uses less digits than its factorization.

19975855790970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206948 (or 206945 counting only the distinct ones).

The product of its (nonzero) digits is 2250423000, while the sum is 81.

The spelling of 19975855790970 in words is "nineteen trillion, nine hundred seventy-five billion, eight hundred fifty-five million, seven hundred ninety thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 43933 87866 131799 162971 219665 263598 325942 395397 439330 488913 658995 790794 814855 977826 1317990 1361923 1466739 1629710 1976985 2444565 2723846 2933478 3953970 4085769 4889130 5052101 6809615 7333695 8171538 10104202 12257307 13619230 14667390 15156303 20428845 24514614 25260505 30312606 40857690 45468909 50521010 61286535 75781515 90937818 122573070 151563030 227344545 454689090 7159804943 14319609886 21479414829 35799024715 42958829658 64438244487 71598049430 107397074145 128876488974 214794148290 221953953233 322191222435 443907906466 644382444870 665861859699 1109769766165 1331723719398 1997585579097 2219539532330 3329309298495 3995171158194 6658618596990 9987927895485 19975855790970