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628940422656 = 293671318517
BaseRepresentation
bin10010010011011111100…
…01010011111000000000
32020010101221100212000000
421021233301103320000
540301032222011111
61200533052000000
763303505246050
oct11115761237000
92203357325000
10628940422656
11222806521477
12a1a86a60000
1347402655960
1422625ab3560
1511560947c56
hex926fc53e00

628940422656 has 560 divisors, whose sum is σ = 2319038176224. Its totient is φ = 165865439232.

The previous prime is 628940422639. The next prime is 628940422681. The reversal of 628940422656 is 656224049826.

628940422656 is a `hidden beast` number, since 6 + 2 + 8 + 9 + 404 + 226 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33956310 + ... + 33974826.

Almost surely, 2628940422656 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 628940422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159519088112).

628940422656 is an abundant number, since it is smaller than the sum of its proper divisors (1690097753568).

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

628940422656 is an equidigital number, since it uses as much as digits as its factorization.

628940422656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18573 (or 18542 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 628940422656 in words is "six hundred twenty-eight billion, nine hundred forty million, four hundred twenty-two thousand, six hundred fifty-six".