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192691808064 = 2633722677027
BaseRepresentation
bin1011001101110101010…
…0111010011101000000
3200102101000122001212000
42303131110322131000
511124113100324224
6224304342104000
716631040225660
oct2633524723500
9612330561760
10192691808064
11747a1558458
123141811b000
131522b20a852
14947d65c1a0
15502ba7e0c9
hex2cdd53a740

192691808064 has 224 divisors, whose sum is σ = 647781442560. Its totient is φ = 55022685696.

The previous prime is 192691808053. The next prime is 192691808107. The reversal of 192691808064 is 460808196291.

192691808064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 192691808064.

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 31 ways as a sum of consecutive naturals, for example, 27418119 + ... + 27425145.

It is an arithmetic number, because the mean of its divisors is an integer number (2891881440).

Almost surely, 2192691808064 is an apocalyptic number.

192691808064 is a gapful number since it is divisible by the number (14) 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 192691808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323890721280).

192691808064 is an abundant number, since it is smaller than the sum of its proper divisors (455089634496).

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

192691808064 is a wasteful number, since it uses less digits than its factorization.

192691808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 192691808064 in words is "one hundred ninety-two billion, six hundred ninety-one million, eight hundred eight thousand, sixty-four".