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628374336480 = 2532511675571063
BaseRepresentation
bin10010010010011100000…
…01110111001111100000
32020001221111011200202100
421021032001313033200
540243402312231410
61200400550450400
763253462506042
oct11111601671740
92201844150670
10628374336480
11222545a27560
12a1949363a00
13473422a2617
14225b0837a92
151152adc88c0
hex924e0773e0

628374336480 has 576 divisors, whose sum is σ = 2380680626688. Its totient is φ = 149649223680.

The previous prime is 628374336461. The next prime is 628374336487. The reversal of 628374336480 is 84633473826.

628374336480 is a `hidden beast` number, since 62 + 8 + 3 + 74 + 3 + 36 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628374336487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 591132429 + ... + 591133491.

It is an arithmetic number, because the mean of its divisors is an integer number (4133126088).

Almost surely, 2628374336480 is an apocalyptic number.

628374336480 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 628374336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190340313344).

628374336480 is an abundant number, since it is smaller than the sum of its proper divisors (1752306290208).

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

628374336480 is a wasteful number, since it uses less digits than its factorization.

628374336480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 628374336480 in words is "six hundred twenty-eight billion, three hundred seventy-four million, three hundred thirty-six thousand, four hundred eighty".