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628714255680 = 263257294389281
BaseRepresentation
bin10010010011000100100…
…10100011010101000000
32020002211011210101020100
421021202102203111000
540300101322140210
61200454412242400
763265060666110
oct11114222432500
92202734711210
10628714255680
112226aa896915
12a1a23170400
1347397839244
1422603a3d040
151154ab705c0
hex92624a3540

628714255680 has 1344 divisors, whose sum is σ = 2654934796800. Its totient is φ = 133524357120.

The previous prime is 628714255669. The next prime is 628714255693. The reversal of 628714255680 is 86552417826.

628714255680 is a `hidden beast` number, since 6 + 2 + 8 + 7 + 1 + 4 + 2 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2237417140 + ... + 2237417420.

Almost surely, 2628714255680 is an apocalyptic number.

628714255680 is a gapful number since it is divisible by the number (60) 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 628714255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327467398400).

628714255680 is an abundant number, since it is smaller than the sum of its proper divisors (2026220541120).

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

628714255680 is a wasteful number, since it uses less digits than its factorization.

628714255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 628714255680 in words is "six hundred twenty-eight billion, seven hundred fourteen million, two hundred fifty-five thousand, six hundred eighty".