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5644696320 = 2832517193741
BaseRepresentation
bin1010100000111001…
…10011101100000000
3112120101111021122200
411100130303230000
543030020240240
62332041233200
7256611061404
oct52034635400
915511437580
105644696320
11243731398a
121116492800
136bc5a67c3
143b7961104
15230852930
hex150733b00

5644696320 has 864 divisors, whose sum is σ = 22900812480. Its totient is φ = 1274019840.

The previous prime is 5644696313. The next prime is 5644696391. The reversal of 5644696320 is 236964465.

5644696320 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 6 + 9 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137675500 + ... + 137675540.

It is an arithmetic number, because the mean of its divisors is an integer number (26505570).

Almost surely, 25644696320 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 5644696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450406240).

5644696320 is an abundant number, since it is smaller than the sum of its proper divisors (17256116160).

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

5644696320 is a wasteful number, since it uses less digits than its factorization.

5644696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 5644696320 is about 75131.1940541344. The cubic root of 5644696320 is about 1780.5200180767.

The spelling of 5644696320 in words is "five billion, six hundred forty-four million, six hundred ninety-six thousand, three hundred twenty".