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55494885600 = 253252711313229
BaseRepresentation
bin110011101011110000…
…001100000011100000
312022020112102021121100
4303223300030003200
51402123142314400
641254411554400
74003133513250
oct635360140340
9168215367540
1055494885600
1121598463a20
12a90915ba00
1353052b281b
142986415960
15169bea4100
hexcebc0c0e0

55494885600 has 864 divisors, whose sum is σ = 251923875840. Its totient is φ = 11155968000.

The previous prime is 55494885541. The next prime is 55494885659. The reversal of 55494885600 is 658849455.

55494885600 is a `hidden beast` number, since 5 + 549 + 48 + 8 + 56 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55494885541) and next prime (55494885659).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17184786 + ... + 17188014.

It is an arithmetic number, because the mean of its divisors is an integer number (291578560).

Almost surely, 255494885600 is an apocalyptic number.

55494885600 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 55494885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125961937920).

55494885600 is an abundant number, since it is smaller than the sum of its proper divisors (196428990240).

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

55494885600 is a wasteful number, since it uses less digits than its factorization.

55494885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 55494885600 in words is "fifty-five billion, four hundred ninety-four million, eight hundred eighty-five thousand, six hundred".