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5664018000 = 24353944003
BaseRepresentation
bin1010100011001101…
…00000111001010000
3112121201211221000110
411101212200321100
543044442034000
62334011321320
7260234234004
oct52146407120
915551757013
105664018000
112447210613
121120a50240
136c35b0254
143ba350704
152323bc850
hex1519a0e50

5664018000 has 80 divisors (see below), whose sum is σ = 18260813376. Its totient is φ = 1510403200.

The previous prime is 5664017999. The next prime is 5664018037. The reversal of 5664018000 is 8104665.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 466002 + ... + 478001.

Almost surely, 25664018000 is an apocalyptic number.

5664018000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5664018000 is an abundant number, since it is smaller than the sum of its proper divisors (12596795376).

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

5664018000 is a wasteful number, since it uses less digits than its factorization.

5664018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944029 (or 944013 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5664018000 is about 75259.6704749629. The cubic root of 5664018000 is about 1782.5492656734.

The spelling of 5664018000 in words is "five billion, six hundred sixty-four million, eighteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 944003 1888006 2832009 3776012 4720015 5664018 7552024 9440030 11328036 14160045 15104048 18880060 22656072 23600075 28320090 37760120 45312144 47200150 56640180 70800225 75520240 94400300 113280360 118000375 141600450 188800600 226560720 236000750 283200900 354001125 377601200 472001500 566401800 708002250 944003000 1132803600 1416004500 1888006000 2832009000 5664018000