Search a number
-
+
54496500800 = 2652737131507
BaseRepresentation
bin110010110000001111…
…101001110001000000
312012122221210002010112
4302300033221301000
51343102101011200
641011345050452
73636321420350
oct626017516100
9165587702115
1054496500800
1121125943715
12a68a926a28
1351a64bc8a1
1428cd9a8b60
15163e4e1535
hexcb03e9c40

54496500800 has 168 divisors, whose sum is σ = 157395086784. Its totient is φ = 18179389440.

The previous prime is 54496500791. The next prime is 54496500811. The reversal of 54496500800 is 800569445.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348647 + ... + 480153.

Almost surely, 254496500800 is an apocalyptic number.

54496500800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54496500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78697543392).

54496500800 is an abundant number, since it is smaller than the sum of its proper divisors (102898585984).

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

54496500800 is a wasteful number, since it uses less digits than its factorization.

54496500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131573 (or 131558 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 54496500800 in words is "fifty-four billion, four hundred ninety-six million, five hundred thousand, eight hundred".