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375396388416 = 2632745212
BaseRepresentation
bin1010111011001110101…
…11100100111001000000
31022212222000112101212100
411131213113210321000
522122302433412131
6444242115230400
736056446440000
oct5354727447100
91285860471770
10375396388416
11135228524905
12609075a8400
13295272805aa
1414252720000
159b719247e6
hex57675e4e40

375396388416 has 315 divisors, whose sum is σ = 1257679567313. Its totient is φ = 107050245120.

The previous prime is 375396388403. The next prime is 375396388439. The reversal of 375396388416 is 614883693573.

The square root of 375396388416 is 612696.

It is a perfect power (a square), and thus also a powerful number.

375396388416 is a `hidden beast` number, since 3 + 7 + 53 + 96 + 3 + 88 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107652234816 + 267744153600 = 328104^2 + 517440^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 720530236 + ... + 720530756.

Almost surely, 2375396388416 is an apocalyptic number.

375396388416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

375396388416 is the 612696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375396388416

375396388416 is an abundant number, since it is smaller than the sum of its proper divisors (882283178897).

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

375396388416 is an frugal number, since it uses more digits than its factorization.

375396388416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 533 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 375396388416 in words is "three hundred seventy-five billion, three hundred ninety-six million, three hundred eighty-eight thousand, four hundred sixteen".