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18992116821888 = 2734717611271987
BaseRepresentation
bin1000101000101111100100…
…11000000110111110000000
32111020121222021110010210000
410110113302120012332000
54442131323401300023
6104220505155440000
74000064234246160
oct424276230067600
974217867403700
1018992116821888
116062569905811
1221689715b6000
13a79c44a58582
1449931ac7a5a0
1522e0664ed243
hex1145f2606f80

18992116821888 has 1280 divisors, whose sum is σ = 70098073436160. Its totient is φ = 4981337948160.

The previous prime is 18992116821851. The next prime is 18992116821941. The reversal of 18992116821888 is 88812861129981.

18992116821888 is a `hidden beast` number, since 189 + 92 + 11 + 68 + 218 + 88 = 666.

It is a super-2 number, since 2×189921168218882 (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 9558185631 + ... + 9558187617.

It is an arithmetic number, because the mean of its divisors is an integer number (54764119872).

Almost surely, 218992116821888 is an apocalyptic number.

18992116821888 is a gapful number since it is divisible by the number (18) 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 18992116821888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35049036718080).

18992116821888 is an abundant number, since it is smaller than the sum of its proper divisors (51105956614272).

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

18992116821888 is a wasteful number, since it uses less digits than its factorization.

18992116821888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2204 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 72.

The spelling of 18992116821888 in words is "eighteen trillion, nine hundred ninety-two billion, one hundred sixteen million, eight hundred twenty-one thousand, eight hundred eighty-eight".