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9728422696872 = 2335112353373207
BaseRepresentation
bin1000110110010001001100…
…1011011101011110101000
31021110000202111121211100000
42031210103023131132220
52233342302202244442
632405101540543000
72022566245351245
oct215442313353650
937400674554300
109728422696872
113110889aa1650
1211115250b1a60
135575039a4a59
14258c02b6c5cc
1511d0d2b93d4c
hex8d9132dd7a8

9728422696872 has 384 divisors, whose sum is σ = 31690554255360. Its totient is φ = 2766620862720.

The previous prime is 9728422696843. The next prime is 9728422696891. The reversal of 9728422696872 is 2786962248279.

9728422696872 is a `hidden beast` number, since 9 + 7 + 284 + 2 + 269 + 6 + 87 + 2 = 666.

9728422696872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9728422696872.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25880493 + ... + 26253699.

It is an arithmetic number, because the mean of its divisors is an integer number (82527485040).

Almost surely, 29728422696872 is an apocalyptic number.

9728422696872 is a gapful number since it is divisible by the number (92) 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 9728422696872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845277127680).

9728422696872 is an abundant number, since it is smaller than the sum of its proper divisors (21962131558488).

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

9728422696872 is a wasteful number, since it uses less digits than its factorization.

9728422696872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373315 (or 373299 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 9728422696872 in words is "nine trillion, seven hundred twenty-eight billion, four hundred twenty-two million, six hundred ninety-six thousand, eight hundred seventy-two".