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19723609152 = 26321323711613
BaseRepresentation
bin10010010111100111…
…100110010001000000
31212220120110011021200
4102113213212101000
5310343220443102
613021053221200
71265524624452
oct222747462100
955816404250
1019723609152
118401510535
1239a5491800
131b24354c60
14d516da2d2
157a687251c
hex4979e6440

19723609152 has 336 divisors, whose sum is σ = 64464761088. Its totient is φ = 5719633920.

The previous prime is 19723609111. The next prime is 19723609163. The reversal of 19723609152 is 25190632791.

It is a happy number.

19723609152 is a `hidden beast` number, since 1 + 9 + 7 + 23 + 609 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19723609098 and 19723609107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12227098 + ... + 12228710.

It is an arithmetic number, because the mean of its divisors is an integer number (191859408).

Almost surely, 219723609152 is an apocalyptic number.

19723609152 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 19723609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32232380544).

19723609152 is an abundant number, since it is smaller than the sum of its proper divisors (44741151936).

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

19723609152 is a wasteful number, since it uses less digits than its factorization.

19723609152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 19723609152 in words is "nineteen billion, seven hundred twenty-three million, six hundred nine thousand, one hundred fifty-two".