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5663960640 = 26355132431
BaseRepresentation
bin1010100011001100…
…10010111001000000
3112121201202000100000
411101212102321000
543044433220030
62334010200000
7260233604532
oct52146227100
915551660300
105663960640
112447181508
121120a23000
136c3590100
143ba337852
152323aa860
hex151992e40

5663960640 has 504 divisors, whose sum is σ = 21927604608. Its totient is φ = 1390970880.

The previous prime is 5663960609. The next prime is 5663960683. The reversal of 5663960640 is 460693665.

5663960640 is a `hidden beast` number, since 5 + 6 + 6 + 39 + 606 + 4 + 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 71 ways as a sum of consecutive naturals, for example, 13141225 + ... + 13141655.

It is an arithmetic number, because the mean of its divisors is an integer number (43507152).

Almost surely, 25663960640 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 5663960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10963802304).

5663960640 is an abundant number, since it is smaller than the sum of its proper divisors (16263643968).

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

5663960640 is a wasteful number, since it uses less digits than its factorization.

5663960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 5663960640 is about 75259.2893934031. The cubic root of 5663960640 is about 1782.5432483096.

The spelling of 5663960640 in words is "five billion, six hundred sixty-three million, nine hundred sixty thousand, six hundred forty".