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2120623994016 = 253511533591303
BaseRepresentation
bin11110110110111111000…
…010100011010010100000
321111201200221011122100000
4132312333002203102200
5234221014220302031
64302111243500000
7306132016352013
oct36667702432240
97451627148300
102120623994016
11748395a61940
122a2ba8827600
13124c87ac8668
14748d2a2737a
153a267b403e6
hex1edbf0a34a0

2120623994016 has 576 divisors, whose sum is σ = 6975848355840. Its totient is φ = 628249789440.

The previous prime is 2120623993997. The next prime is 2120623994033. The reversal of 2120623994016 is 6104993260212.

2120623994016 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 6 + 239 + 9 + 401 + 6 = 666.

It is a super-2 number, since 2×21206239940162 (a number of 25 digits) contains 22 as substring.

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, 1627492821 + ... + 1627494123.

It is an arithmetic number, because the mean of its divisors is an integer number (12110847840).

Almost surely, 22120623994016 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 2120623994016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487924177920).

2120623994016 is an abundant number, since it is smaller than the sum of its proper divisors (4855224361824).

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

2120623994016 is a wasteful number, since it uses less digits than its factorization.

2120623994016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2120623994016 in words is "two trillion, one hundred twenty billion, six hundred twenty-three million, nine hundred ninety-four thousand, sixteen".