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55664837472 = 25319434571553
BaseRepresentation
bin110011110101111000…
…100000001101100000
312022200101012201202010
4303311320200031200
51403000144244342
641323322352520
74010266211616
oct636570401540
9168611181663
1055664837472
1121675393312
12a95605b740
135331578c6a
1429a0c156b6
1516abd7529c
hexcf5e20360

55664837472 has 192 divisors, whose sum is σ = 157833688320. Its totient is φ = 17120968704.

The previous prime is 55664837441. The next prime is 55664837629. The reversal of 55664837472 is 27473846655.

It is a happy number.

It is a super-3 number, since 3×556648374723 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35842648 + ... + 35844200.

It is an arithmetic number, because the mean of its divisors is an integer number (822050460).

Almost surely, 255664837472 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 55664837472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78916844160).

55664837472 is an abundant number, since it is smaller than the sum of its proper divisors (102168850848).

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

55664837472 is a wasteful number, since it uses less digits than its factorization.

55664837472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2077 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 57.

The spelling of 55664837472 in words is "fifty-five billion, six hundred sixty-four million, eight hundred thirty-seven thousand, four hundred seventy-two".