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5645790720 = 29345191433
BaseRepresentation
bin1010100001000001…
…11110111000000000
3112120110112212220000
411100200332320000
543030310300340
62332120520000
7256623300153
oct52040767000
915513485800
105645790720
1124379a1149
121116920000
136bc89a98b
143b7b67c9a
152309bbd30
hex15083ee00

5645790720 has 400 divisors, whose sum is σ = 21300578640. Its totient is φ = 1425309696.

The previous prime is 5645790719. The next prime is 5645790721. The reversal of 5645790720 is 270975465.

5645790720 is a `hidden beast` number, since 5 + 6 + 4 + 579 + 0 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5645790719) and next prime (5645790721).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5645790721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3939124 + ... + 3940556.

Almost surely, 25645790720 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 5645790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10650289320).

5645790720 is an abundant number, since it is smaller than the sum of its proper divisors (15654787920).

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

5645790720 is a wasteful number, since it uses less digits than its factorization.

5645790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5645790720 is about 75138.4769608754. The cubic root of 5645790720 is about 1780.6350803747.

The spelling of 5645790720 in words is "five billion, six hundred forty-five million, seven hundred ninety thousand, seven hundred twenty".