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55014930432 = 211347115973
BaseRepresentation
bin110011001111001001…
…010011100000000000
312021000002022000220000
4303033021103200000
51400132310233212
641135024520000
73655215123120
oct631711234000
9167002260800
1055014930432
1121371548560
12a7b4480000
135259a28397
14293c79ac80
15166ec9a1dc
hexccf253800

55014930432 has 960 divisors, whose sum is σ = 211199788800. Its totient is φ = 13854965760.

The previous prime is 55014930413. The next prime is 55014930433. The reversal of 55014930432 is 23403941055.

55014930432 is a `hidden beast` number, since 5 + 50 + 149 + 30 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55014930433) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 753629148 + ... + 753629220.

It is an arithmetic number, because the mean of its divisors is an integer number (219999780).

Almost surely, 255014930432 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 55014930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105599894400).

55014930432 is an abundant number, since it is smaller than the sum of its proper divisors (156184858368).

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

55014930432 is a wasteful number, since it uses less digits than its factorization.

55014930432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 55014930432 in words is "fifty-five billion, fourteen million, nine hundred thirty thousand, four hundred thirty-two".