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54445460000 = 25542722273
BaseRepresentation
bin110010101101001100…
…111100101000100000
312012112101201221022112
4302231030330220200
51343001014210000
641002323054452
73635131526351
oct625514745040
9165471657275
1054445460000
11210aa051a38
12a675811428
135198a5b829
1428c6cbdd28
151639cad235
hexcad33ca20

54445460000 has 60 divisors (see below), whose sum is σ = 133944047622. Its totient is φ = 21778176000.

The previous prime is 54445459967. The next prime is 54445460039. The reversal of 54445460000 is 6454445.

It can be written as a sum of positive squares in 5 ways, for example, as 4800272656 + 49645187344 = 69284^2 + 222812^2 .

It is a super-2 number, since 2×544454600002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1341137 + ... + 1381136.

Almost surely, 254445460000 is an apocalyptic number.

54445460000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54445460000 is an abundant number, since it is smaller than the sum of its proper divisors (79498587622).

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

54445460000 is an equidigital number, since it uses as much as digits as its factorization.

54445460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722303 (or 2722280 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 54445460000 in words is "fifty-four billion, four hundred forty-five million, four hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 2722273 5444546 10889092 13611365 21778184 27222730 43556368 54445460 68056825 87112736 108890920 136113650 217781840 272227300 340284125 435563680 544454600 680568250 1088909200 1361136500 1701420625 2177818400 2722273000 3402841250 5444546000 6805682500 10889092000 13611365000 27222730000 54445460000