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55541695104 = 2732731435167
BaseRepresentation
bin110011101110100010…
…110000001010000000
312022100210111110011200
4303232202300022000
51402222133220404
641303203141200
74004242422150
oct635642601200
9168323443150
1055541695104
1121611925665
12a920974800
135311bc195c
14298c71c760
1516a114d839
hexcee8b0280

55541695104 has 384 divisors, whose sum is σ = 192973946880. Its totient is φ = 14997104640.

The previous prime is 55541695103. The next prime is 55541695123. The reversal of 55541695104 is 40159614555.

55541695104 is a `hidden beast` number, since 5 + 5 + 541 + 6 + 95 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 55541695104.

It is not an unprimeable number, because it can be changed into a prime (55541695103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10746729 + ... + 10751895.

It is an arithmetic number, because the mean of its divisors is an integer number (502536320).

Almost surely, 255541695104 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 55541695104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96486973440).

55541695104 is an abundant number, since it is smaller than the sum of its proper divisors (137432251776).

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

55541695104 is a wasteful number, since it uses less digits than its factorization.

55541695104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 55541695104 in words is "fifty-five billion, five hundred forty-one million, six hundred ninety-five thousand, one hundred four".