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55042618176 = 2635713192389
BaseRepresentation
bin110011010000110010…
…111011001101000000
312021002000101201100000
4303100302323031000
51400211402240201
641141454200000
73656002351320
oct632062731500
9167060351300
1055042618176
1121386139797
12a8017b3000
1352626a0a70
142942327280
151672418d86
hexcd0cbb340

55042618176 has 1344 divisors, whose sum is σ = 223669555200. Its totient is φ = 13006946304.

The previous prime is 55042618171. The next prime is 55042618219. The reversal of 55042618176 is 67181624055.

55042618176 is a `hidden beast` number, since 5 + 50 + 426 + 1 + 8 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55042618171) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 618456340 + ... + 618456428.

It is an arithmetic number, because the mean of its divisors is an integer number (166420800).

Almost surely, 255042618176 is an apocalyptic number.

55042618176 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 55042618176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111834777600).

55042618176 is an abundant number, since it is smaller than the sum of its proper divisors (168626937024).

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

55042618176 is a wasteful number, since it uses less digits than its factorization.

55042618176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 55042618176 in words is "fifty-five billion, forty-two million, six hundred eighteen thousand, one hundred seventy-six".