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18320919552 = 210341321307
BaseRepresentation
bin10001000100000000…
…110000110000000000
31202021211001010220000
4101010000300300000
5300010123411202
612225544520000
71216003150425
oct210400606000
952254033800
1018320919552
117851755031
123673780000
13195c874200
14c5b2c7d4c
1572364a91c
hex444030c00

18320919552 has 330 divisors, whose sum is σ = 59287351068. Its totient is φ = 5632892928.

The previous prime is 18320919541. The next prime is 18320919559. The reversal of 18320919552 is 25591902381.

18320919552 is a `hidden beast` number, since 1 + 8 + 3 + 2 + 0 + 91 + 9 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18320919498 and 18320919507.

It is not an unprimeable number, because it can be changed into a prime (18320919559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14016883 + ... + 14018189.

Almost surely, 218320919552 is an apocalyptic number.

18320919552 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 18320919552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29643675534).

18320919552 is an abundant number, since it is smaller than the sum of its proper divisors (40966431516).

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

18320919552 is a wasteful number, since it uses less digits than its factorization.

18320919552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 18320919552 in words is "eighteen billion, three hundred twenty million, nine hundred nineteen thousand, five hundred fifty-two".