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54664883600 = 2452136662209
BaseRepresentation
bin110010111010010001…
…111110110110010000
312020002200121210220112
4302322101332312100
51343423202233400
641040202100452
73643434562325
oct627221766620
9166080553815
1054664883600
11212019a1158
12a7171aa728
135202356a92
1429080bab4c
15164e1a2835
hexcba47ed90

54664883600 has 30 divisors (see below), whose sum is σ = 131332383810. Its totient is φ = 21865953280.

The previous prime is 54664883573. The next prime is 54664883621. The reversal of 54664883600 is 638846645.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5245815184 + 49419068416 = 72428^2 + 222304^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68330705 + ... + 68331504.

It is an arithmetic number, because the mean of its divisors is an integer number (4377746127).

Almost surely, 254664883600 is an apocalyptic number.

54664883600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54664883600 is an abundant number, since it is smaller than the sum of its proper divisors (76667500210).

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

54664883600 is a wasteful number, since it uses less digits than its factorization.

54664883600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136662227 (or 136662216 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 54664883600 in words is "fifty-four billion, six hundred sixty-four million, eight hundred eighty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 136662209 273324418 546648836 683311045 1093297672 1366622090 2186595344 2733244180 3416555225 5466488360 6833110450 10932976720 13666220900 27332441800 54664883600