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5734903680 = 273451189113
BaseRepresentation
bin1010101011101001…
…11010111110000000
3112210200020021220000
411111310322332000
543221113404210
62345022520000
7262054606542
oct52564727600
915720207800
105734903680
112483227020
121140736000
1370519bc3c
143c5923692
15238720ac0
hex155d3af80

5734903680 has 640 divisors, whose sum is σ = 22793205600. Its totient is φ = 1362493440.

The previous prime is 5734903673. The next prime is 5734903813. The reversal of 5734903680 is 863094375.

5734903680 is a `hidden beast` number, since 57 + 3 + 490 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50751304 + ... + 50751416.

Almost surely, 25734903680 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 5734903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396602800).

5734903680 is an abundant number, since it is smaller than the sum of its proper divisors (17058301920).

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

5734903680 is a wasteful number, since it uses less digits than its factorization.

5734903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5734903680 is about 75729.1468326430. The cubic root of 5734903680 is about 1789.9547110458.

The spelling of 5734903680 in words is "five billion, seven hundred thirty-four million, nine hundred three thousand, six hundred eighty".