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55182631811040 = 25325577110959887
BaseRepresentation
bin11001000110000001101010…
…01010101011011111100000
321020101102000111020122211200
430203000311022223133200
524213103012220423130
6313210315011241200
714423546026104666
oct1443006512533740
9236342014218750
1055182631811040
111664590605a378
12623291b8a9200
1324a391375bb06
14d8abd450cc36
1565a660b50760
hex3230352ab7e0

55182631811040 has 288 divisors, whose sum is σ = 188810342098560. Its totient is φ = 14676374126592.

The previous prime is 55182631811039. The next prime is 55182631811081. The reversal of 55182631811040 is 4011813628155.

55182631811040 is a `hidden beast` number, since 5 + 5 + 1 + 8 + 2 + 631 + 8 + 1 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 921415977 + ... + 921475863.

It is an arithmetic number, because the mean of its divisors is an integer number (655591465620).

Almost surely, 255182631811040 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 55182631811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94405171049280).

55182631811040 is an abundant number, since it is smaller than the sum of its proper divisors (133627710287520).

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

55182631811040 is a wasteful number, since it uses less digits than its factorization.

55182631811040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61594 (or 61583 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 55182631811040 in words is "fifty-five trillion, one hundred eighty-two billion, six hundred thirty-one million, eight hundred eleven thousand, forty".