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628183475040 = 25351117193371093
BaseRepresentation
bin10010010010000101010…
…01110010001101100000
32020001110012000221002010
421021002221302031200
540243004432200130
61200330011552520
763245654302512
oct11110251621540
92201405027063
10628183475040
11222458216530
12a18b545b740
1347311897a64
1422593353bb2
15115192770b0
hex9242a72360

628183475040 has 768 divisors, whose sum is σ = 2415291540480. Its totient is φ = 135258439680.

The previous prime is 628183475039. The next prime is 628183475081. The reversal of 628183475040 is 40574381826.

It is a super-2 number, since 2×6281834750402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 574732734 + ... + 574733826.

It is an arithmetic number, because the mean of its divisors is an integer number (3144910860).

Almost surely, 2628183475040 is an apocalyptic number.

628183475040 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 628183475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207645770240).

628183475040 is an abundant number, since it is smaller than the sum of its proper divisors (1787108065440).

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

628183475040 is a wasteful number, since it uses less digits than its factorization.

628183475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 628183475040 in words is "six hundred twenty-eight billion, one hundred eighty-three million, four hundred seventy-five thousand, forty".