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18986109936192 = 26337233161151239
BaseRepresentation
bin1000101000100100011000…
…10101101010001001000000
32111020001110122102201201000
410110102030111222021000
54442032023120424232
6104214033135212000
73666462334461660
oct424221425521100
974201418381630
1018986109936192
11605aa67101673
122167775977000
13a794c841b639
14498d0b1981a0
1522dd13ea527c
hex11448c56a240

18986109936192 has 1792 divisors, whose sum is σ = 70592967475200. Its totient is φ = 4885816320000.

The previous prime is 18986109936173. The next prime is 18986109936217. The reversal of 18986109936192 is 29163990168981.

18986109936192 is a `hidden beast` number, since 1 + 8 + 9 + 86 + 10 + 99 + 361 + 92 = 666.

It is a super-2 number, since 2×189861099361922 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 18986109936192.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79439790409 + ... + 79439790647.

Almost surely, 218986109936192 is an apocalyptic number.

18986109936192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18986109936192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35296483737600).

18986109936192 is an abundant number, since it is smaller than the sum of its proper divisors (51606857539008).

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

18986109936192 is a wasteful number, since it uses less digits than its factorization.

18986109936192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 72.

The spelling of 18986109936192 in words is "eighteen trillion, nine hundred eighty-six billion, one hundred nine million, nine hundred thirty-six thousand, one hundred ninety-two".