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628092427116 = 22371119318831307
BaseRepresentation
bin10010010001111010011…
…10011101101101101100
32020001012211201012210210
421020331032131231230
540242313130131431
61200313000302420
763243500353620
oct11107516355554
92201184635723
10628092427116
11222410889910
12a188aa71a10
13472c8a69b4b
1422585213180
151151128ed46
hex923d39db6c

628092427116 has 384 divisors, whose sum is σ = 1989157847040. Its totient is φ = 149285203200.

The previous prime is 628092427043. The next prime is 628092427121. The reversal of 628092427116 is 611724290826.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 480559735 + ... + 480561041.

It is an arithmetic number, because the mean of its divisors is an integer number (5180098560).

Almost surely, 2628092427116 is an apocalyptic number.

628092427116 is a gapful number since it is divisible by the number (66) 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 628092427116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994578923520).

628092427116 is an abundant number, since it is smaller than the sum of its proper divisors (1361065419924).

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

628092427116 is a wasteful number, since it uses less digits than its factorization.

628092427116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 628092427116 in words is "six hundred twenty-eight billion, ninety-two million, four hundred twenty-seven thousand, one hundred sixteen".