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5365657440 = 25325111371367
BaseRepresentation
bin1001111111101000…
…10110111101100000
3111211221102122021100
410333310112331200
541442102014230
62244232354400
7246652223103
oct47764267540
914757378240
105365657440
112303856940
121058b45a00
13676837740
1438c88673a
152160d4660
hex13fd16f60

5365657440 has 576 divisors, whose sum is σ = 21873825792. Its totient is φ = 1180569600.

The previous prime is 5365657397. The next prime is 5365657469. The reversal of 5365657440 is 447565635.

5365657440 is a `hidden beast` number, since 5 + 36 + 5 + 6 + 574 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14620137 + ... + 14620503.

It is an arithmetic number, because the mean of its divisors is an integer number (37975392).

Almost surely, 25365657440 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 5365657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936912896).

5365657440 is an abundant number, since it is smaller than the sum of its proper divisors (16508168352).

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

5365657440 is a wasteful number, since it uses less digits than its factorization.

5365657440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The square root of 5365657440 is about 73250.6480517408. The cubic root of 5365657440 is about 1750.6835359748.

The spelling of 5365657440 in words is "five billion, three hundred sixty-five million, six hundred fifty-seven thousand, four hundred forty".