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5408560080 = 24335711311049
BaseRepresentation
bin1010000100110000…
…00001001111010000
3111221221011022122000
411002120001033100
542034042410310
62252404114000
7251013000510
oct50230011720
914857138560
105408560080
112325a9a270
12106b395900
136826a9511
14394453840
15219c5b4c0
hex1426013d0

5408560080 has 640 divisors, whose sum is σ = 23998464000. Its totient is φ = 1086566400.

The previous prime is 5408560051. The next prime is 5408560097. The reversal of 5408560080 is 800658045.

It is a happy number.

5408560080 is a `hidden beast` number, since 5 + 40 + 8 + 5 + 600 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 5155396 + ... + 5156444.

It is an arithmetic number, because the mean of its divisors is an integer number (37497600).

Almost surely, 25408560080 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 5408560080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999232000).

5408560080 is an abundant number, since it is smaller than the sum of its proper divisors (18589903920).

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

5408560080 is a wasteful number, since it uses less digits than its factorization.

5408560080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5408560080 is about 73542.9131867918. The cubic root of 5408560080 is about 1755.3371840994.

The spelling of 5408560080 in words is "five billion, four hundred eight million, five hundred sixty thousand, eighty".