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55452611520 = 26325314115149
BaseRepresentation
bin110011101001001110…
…111011001111000000
312022010120212112110200
4303221032323033000
51402031332032040
641250301525200
74002111264225
oct635116731700
9168116775420
1055452611520
112157660a869
12a8b6b73800
1352c9600b87
14298096d94c
151698403630
hexce93bb3c0

55452611520 has 336 divisors, whose sum is σ = 201702009600. Its totient is φ = 13960396800.

The previous prime is 55452611497. The next prime is 55452611527. The reversal of 55452611520 is 2511625455.

55452611520 is a `hidden beast` number, since 5 + 545 + 2 + 61 + 1 + 52 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55452611527) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3652906 + ... + 3668054.

It is an arithmetic number, because the mean of its divisors is an integer number (600303600).

Almost surely, 255452611520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55452611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100851004800).

55452611520 is an abundant number, since it is smaller than the sum of its proper divisors (146249398080).

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

55452611520 is a wasteful number, since it uses less digits than its factorization.

55452611520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15244 (or 15231 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 55452611520 in words is "fifty-five billion, four hundred fifty-two million, six hundred eleven thousand, five hundred twenty".