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18775731312 = 2435132331521
BaseRepresentation
bin10001011111000111…
…101110110001110000
31210110111211222100000
4101133013232301300
5301423041400222
612343033030000
71233165040302
oct213707566160
953414758300
1018775731312
117a65457918
12377bb55300
131a02b670b0
14ca1879972
1574d5399ac
hex45f1eec70

18775731312 has 480 divisors, whose sum is σ = 63331946496. Its totient is φ = 5337446400.

The previous prime is 18775731307. The next prime is 18775731323. The reversal of 18775731312 is 21313757781.

18775731312 is a `hidden beast` number, since 1 + 8 + 77 + 573 + 1 + 3 + 1 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 36037612 + ... + 36038132.

Almost surely, 218775731312 is an apocalyptic number.

18775731312 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 18775731312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31665973248).

18775731312 is an abundant number, since it is smaller than the sum of its proper divisors (44556215184).

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

18775731312 is a wasteful number, since it uses less digits than its factorization.

18775731312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 593 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 18775731312 in words is "eighteen billion, seven hundred seventy-five million, seven hundred thirty-one thousand, three hundred twelve".