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190926206928 = 24321355397829
BaseRepresentation
bin1011000111010000010…
…1101011011111010000
3200020210222100020102100
42301310011223133100
511112004102110203
6223413231120400
716536220660542
oct2616405533720
9606728306370
10190926206928
1173a75959166
1231004973100
13150094a2a52
149352d7b692
154e76a6cea3
hex2c7416b7d0

190926206928 has 60 divisors (see below), whose sum is σ = 534373091460. Its totient is φ = 63636722688.

The previous prime is 190926206923. The next prime is 190926206951. The reversal of 190926206928 is 829602629091.

It is a happy number.

190926206928 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 2 + 620 + 6 + 9 + 2 + 8 = 666.

190926206928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 138509020224 + 52417186704 = 372168^2 + 228948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190926206923) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1902718 + ... + 2000546.

It is an arithmetic number, because the mean of its divisors is an integer number (8906218191).

Almost surely, 2190926206928 is an apocalyptic number.

190926206928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

190926206928 is an abundant number, since it is smaller than the sum of its proper divisors (343446884532).

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

190926206928 is a wasteful number, since it uses less digits than its factorization.

190926206928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111396 (or 111387 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 190926206928 in words is "one hundred ninety billion, nine hundred twenty-six million, two hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13553 27106 40659 54212 81318 97829 108424 121977 162636 195658 216848 243954 293487 325272 391316 487908 586974 650544 782632 880461 975816 1173948 1565264 1760922 1951632 2347896 3521844 4695792 7043688 14087376 1325876437 2651752874 3977629311 5303505748 7955258622 10607011496 11932887933 15910517244 21214022992 23865775866 31821034488 47731551732 63642068976 95463103464 190926206928