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5336923680 = 25335111923257
BaseRepresentation
bin1001111100001101…
…01111111000100000
3111202221100210222000
410332012233320200
541412223024210
62241324444000
7246153050154
oct47606577040
914687323860
105336923680
112299610830
12104b3a9600
136708b6c0a
14388b27064
1521380aac0
hex13e1afe20

5336923680 has 768 divisors, whose sum is σ = 22469529600. Its totient is φ = 1167851520.

The previous prime is 5336923643. The next prime is 5336923751. The reversal of 5336923680 is 863296335.

5336923680 is a `hidden beast` number, since 5 + 336 + 9 + 236 + 80 = 666.

It is a super-2 number, since 2×53369236802 = 56965508732289484800, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20766112 + ... + 20766368.

It is an arithmetic number, because the mean of its divisors is an integer number (29257200).

Almost surely, 25336923680 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 5336923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11234764800).

5336923680 is an abundant number, since it is smaller than the sum of its proper divisors (17132605920).

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

5336923680 is a wasteful number, since it uses less digits than its factorization.

5336923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

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

The square root of 5336923680 is about 73054.2516216544. The cubic root of 5336923680 is about 1747.5528986179.

The spelling of 5336923680 in words is "five billion, three hundred thirty-six million, nine hundred twenty-three thousand, six hundred eighty".