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55278557136 = 243311191733539
BaseRepresentation
bin110011011110110110…
…111101011111010000
312021200110100122202000
4303132312331133100
51401202302312021
641221123154000
73664565661105
oct633666753720
9167613318660
1055278557136
1121497339170
12a868815900
13529c52c30a
1429657c2aac
151687ec1b26
hexcdedbd7d0

55278557136 has 320 divisors, whose sum is σ = 183309696000. Its totient is φ = 15773253120.

The previous prime is 55278557129. The next prime is 55278557137. The reversal of 55278557136 is 63175587255.

55278557136 is a `hidden beast` number, since 5 + 5 + 2 + 78 + 557 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55278557137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15618055 + ... + 15621593.

It is an arithmetic number, because the mean of its divisors is an integer number (572842800).

Almost surely, 255278557136 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 55278557136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91654848000).

55278557136 is an abundant number, since it is smaller than the sum of its proper divisors (128031138864).

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

55278557136 is a wasteful number, since it uses less digits than its factorization.

55278557136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3747 counting only the distinct ones).

The product of its digits is 8820000, while the sum is 54.

The spelling of 55278557136 in words is "fifty-five billion, two hundred seventy-eight million, five hundred fifty-seven thousand, one hundred thirty-six".