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18926735520 = 25357114311909
BaseRepresentation
bin10001101000000111…
…110001000010100000
31210212000222210011110
4101220013301002200
5302230221014040
612410025343320
71240010411640
oct215007610240
953760883143
1018926735520
118032715590
123802637b40
131a282280b4
14cb7946520
1575b916980
hex4681f10a0

18926735520 has 384 divisors, whose sum is σ = 76065454080. Its totient is φ = 3841044480.

The previous prime is 18926735497. The next prime is 18926735539. The reversal of 18926735520 is 2553762981.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18926735520.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1583326 + ... + 1595234.

It is an arithmetic number, because the mean of its divisors is an integer number (198087120).

Almost surely, 218926735520 is an apocalyptic number.

18926735520 is a gapful number since it is divisible by the number (10) 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 18926735520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38032727040).

18926735520 is an abundant number, since it is smaller than the sum of its proper divisors (57138718560).

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

18926735520 is a wasteful number, since it uses less digits than its factorization.

18926735520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 18926735520 in words is "eighteen billion, nine hundred twenty-six million, seven hundred thirty-five thousand, five hundred twenty".