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2008316657592 = 23327174111350593
BaseRepresentation
bin11101001110011001000…
…000000011111110111000
321002222211001002211102100
4131032121000003332320
5230401013031020332
64134335151503400
7265044646633140
oct35163100037670
97088731084370
102008316657592
117047a443a823
12285285227b60
131174ca58823b
146d2bb225920
15373931c767c
hex1d399003fb8

2008316657592 has 384 divisors, whose sum is σ = 6802213541760. Its totient is φ = 522206576640.

The previous prime is 2008316657549. The next prime is 2008316657593. The reversal of 2008316657592 is 2957566138002.

2008316657592 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 3 + 1 + 66 + 575 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008316657593) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39670248 + ... + 39720840.

It is an arithmetic number, because the mean of its divisors is an integer number (17714097765).

Almost surely, 22008316657592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008316657592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401106770880).

2008316657592 is an abundant number, since it is smaller than the sum of its proper divisors (4793896884168).

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

2008316657592 is a wasteful number, since it uses less digits than its factorization.

2008316657592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50783 (or 50776 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2008316657592 in words is "two trillion, eight billion, three hundred sixteen million, six hundred fifty-seven thousand, five hundred ninety-two".