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55511054352 = 243313295359109
BaseRepresentation
bin110011101100101101…
…110111100000010000
312022021122211201222000
4303230231313200100
51402141312214402
641300150314000
74003421114415
oct635455674020
9168248751860
1055511054352
11215a65a7826
12a912658900
135308754130
14298862410c
15169d5e9c1c
hexcecb77810

55511054352 has 640 divisors, whose sum is σ = 185613120000. Its totient is φ = 15760023552.

The previous prime is 55511054327. The next prime is 55511054353. The reversal of 55511054352 is 25345011555.

55511054352 is a `hidden beast` number, since 5 + 5 + 51 + 10 + 543 + 52 = 666.

55511054352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55511054353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509275674 + ... + 509275782.

It is an arithmetic number, because the mean of its divisors is an integer number (290020500).

Almost surely, 255511054352 is an apocalyptic number.

55511054352 is a gapful number since it is divisible by the number (52) 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 55511054352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560000).

55511054352 is an abundant number, since it is smaller than the sum of its proper divisors (130102065648).

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

55511054352 is a wasteful number, since it uses less digits than its factorization.

55511054352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 55511054352 in words is "fifty-five billion, five hundred eleven million, fifty-four thousand, three hundred fifty-two".