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5478968064 = 28316742719
BaseRepresentation
bin1010001101001001…
…00110101100000000
3112010211122102020010
411012210212230000
542210103434224
62303401144520
7252526313553
oct50644465400
915124572203
105478968064
112361809889
12108aa8b140
1369415b94b
1439d94069a
15221017e29
hex146926b00

5478968064 has 72 divisors (see below), whose sum is σ = 14669706240. Its totient is φ = 1815344128.

The previous prime is 5478968017. The next prime is 5478968093. The reversal of 5478968064 is 4608698745.

It is a junction number, because it is equal to n+sod(n) for n = 5478967995 and 5478968013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106897 + ... + 149615.

It is an arithmetic number, because the mean of its divisors is an integer number (203745920).

Almost surely, 25478968064 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 5478968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334853120).

5478968064 is an abundant number, since it is smaller than the sum of its proper divisors (9190738176).

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

5478968064 is a wasteful number, since it uses less digits than its factorization.

5478968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42905 (or 42891 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The square root of 5478968064 is about 74020.0517697738. The cubic root of 5478968064 is about 1762.9212917353.

The spelling of 5478968064 in words is "five billion, four hundred seventy-eight million, nine hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 668 768 1002 1336 2004 2672 4008 5344 8016 10688 16032 21376 32064 42719 42752 64128 85438 128157 128256 170876 256314 341752 512628 683504 1025256 1367008 2050512 2734016 4101024 5468032 7134073 8202048 10936064 14268146 16404096 21402219 28536292 32808192 42804438 57072584 85608876 114145168 171217752 228290336 342435504 456580672 684871008 913161344 1369742016 1826322688 2739484032 5478968064