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18870792192 = 212327231337
BaseRepresentation
bin10001100100110010…
…010111000000000000
31210201010201120100100
4101210302113000000
5302121410322232
612400310322400
71235431041600
oct214462270000
953633646310
1018870792192
11800408552a
1237a7959400
131a1976b735
14cb0342c00
15756a65c7c
hex464c97000

18870792192 has 468 divisors, whose sum is σ = 65648047296. Its totient is φ = 5202247680.

The previous prime is 18870792181. The next prime is 18870792209. The reversal of 18870792192 is 29129707881.

It is a super-2 number, since 2×188707921922 (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 55996248 + ... + 55996584.

Almost surely, 218870792192 is an apocalyptic number.

18870792192 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 18870792192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32824023648).

18870792192 is an abundant number, since it is smaller than the sum of its proper divisors (46777255104).

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

18870792192 is a wasteful number, since it uses less digits than its factorization.

18870792192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 18870792192 in words is "eighteen billion, eight hundred seventy million, seven hundred ninety-two thousand, one hundred ninety-two".