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5652677664 = 253737259
BaseRepresentation
bin1010100001110110…
…10000010000100000
3112120221111210000000
411100323100100200
543034041141124
62332524300000
7260035652544
oct52073202040
915527453000
105652677664
112440875437
1211190a1600
136c113c5aa
143b8a3ba24
152313cc6c9
hex150ed0420

5652677664 has 288 divisors, whose sum is σ = 17444548800. Its totient is φ = 1802227968.

The previous prime is 5652677647. The next prime is 5652677683. The reversal of 5652677664 is 4667762565.

5652677664 is a `hidden beast` number, since 56 + 526 + 7 + 7 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5652677664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95808067 + ... + 95808125.

It is an arithmetic number, because the mean of its divisors is an integer number (60571350).

Almost surely, 25652677664 is an apocalyptic number.

5652677664 is a gapful number since it is divisible by the number (54) 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 5652677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722274400).

5652677664 is an abundant number, since it is smaller than the sum of its proper divisors (11791871136).

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

5652677664 is an frugal number, since it uses more digits than its factorization.

5652677664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 101 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 5652677664 is about 75184.2913380182. The cubic root of 5652677664 is about 1781.3588143165.

The spelling of 5652677664 in words is "five billion, six hundred fifty-two million, six hundred seventy-seven thousand, six hundred sixty-four".