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190921783968 = 25332913755619
BaseRepresentation
bin1011000111001111010…
…0110011101010100000
3200020210200000112021000
42301303310303222200
511112001434041333
6223412552232000
716536135246606
oct2616364635240
9606720015230
10190921783968
1173a73408123
123100339b600
13150085b4806
149352549876
154e76497713
hex2c73d33aa0

190921783968 has 192 divisors, whose sum is σ = 580272336000. Its totient is φ = 60996483072.

The previous prime is 190921783951. The next prime is 190921784017. The reversal of 190921783968 is 869387129091.

190921783968 is a `hidden beast` number, since 1 + 90 + 92 + 1 + 78 + 396 + 8 = 666.

190921783968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1909217839682 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3404863 + ... + 3460481.

It is an arithmetic number, because the mean of its divisors is an integer number (3022251750).

Almost surely, 2190921783968 is an apocalyptic number.

190921783968 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 190921783968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290136168000).

190921783968 is an abundant number, since it is smaller than the sum of its proper divisors (389350552032).

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

190921783968 is a wasteful number, since it uses less digits than its factorization.

190921783968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55804 (or 55790 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 190921783968 in words is "one hundred ninety billion, nine hundred twenty-one million, seven hundred eighty-three thousand, nine hundred sixty-eight".