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9992487624372 = 22331194713016827
BaseRepresentation
bin1001000101101000111010…
…1011001101111010110100
31022101021100122101000211000
42101122032223031322310
52302204103312434442
633130252504443300
72050635105245451
oct221321653157264
938337318330730
109992487624372
113202876840020
12115473ba79530
13576397956546
142678d3518828
15124dda668d4c
hex9168eacdeb4

9992487624372 has 192 divisors, whose sum is σ = 28317317575680. Its totient is φ = 3022061328000.

The previous prime is 9992487624331. The next prime is 9992487624397. The reversal of 9992487624372 is 2734267842999.

9992487624372 is a `hidden beast` number, since 9 + 9 + 9 + 248 + 7 + 6 + 2 + 4 + 372 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9992487624372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1463668423 + ... + 1463675249.

It is an arithmetic number, because the mean of its divisors is an integer number (147486029040).

Almost surely, 29992487624372 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 9992487624372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158658787840).

9992487624372 is an abundant number, since it is smaller than the sum of its proper divisors (18324829951308).

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

9992487624372 is a wasteful number, since it uses less digits than its factorization.

9992487624372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099 (or 9091 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 9992487624372 in words is "nine trillion, nine hundred ninety-two billion, four hundred eighty-seven million, six hundred twenty-four thousand, three hundred seventy-two".