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55625090976 = 25327134151767
BaseRepresentation
bin110011110011100000…
…111000011110100000
312022120121102101210200
4303303200320132200
51402410010402401
641315342425200
74006304320620
oct636340703640
9168517371720
1055625090976
1121654a06174
12a944892200
135326270920
14299982a880
1516a8623686
hexcf38387a0

55625090976 has 288 divisors, whose sum is σ = 199440154368. Its totient is φ = 14312263680.

The previous prime is 55625090971. The next prime is 55625090999. The reversal of 55625090976 is 67909052655.

It is a happy number.

55625090976 is a `hidden beast` number, since 5 + 5 + 62 + 509 + 0 + 9 + 76 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55625090971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048645 + ... + 1100411.

It is an arithmetic number, because the mean of its divisors is an integer number (692500536).

Almost surely, 255625090976 is an apocalyptic number.

55625090976 is a gapful number since it is divisible by the number (56) 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 55625090976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99720077184).

55625090976 is an abundant number, since it is smaller than the sum of its proper divisors (143815063392).

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

55625090976 is a wasteful number, since it uses less digits than its factorization.

55625090976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51844 (or 51833 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 55625090976 in words is "fifty-five billion, six hundred twenty-five million, ninety thousand, nine hundred seventy-six".