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55664430120 = 23335137354311
BaseRepresentation
bin110011110101110110…
…111100110000101000
312022200100110000222000
4303311312330300220
51403000043230440
641323305531000
74010262564165
oct636566746050
9168610400860
1055664430120
1121675135262
12a955aa3a60
135331465720
1429a0b4b06c
1516abce4730
hexcf5dbcc28

55664430120 has 256 divisors, whose sum is σ = 202562035200. Its totient is φ = 13514065920.

The previous prime is 55664430091. The next prime is 55664430121. The reversal of 55664430120 is 2103446655.

55664430120 is a `hidden beast` number, since 5 + 5 + 6 + 644 + 3 + 0 + 1 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55664430121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 997765 + ... + 1052075.

It is an arithmetic number, because the mean of its divisors is an integer number (791257950).

Almost surely, 255664430120 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 55664430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101281017600).

55664430120 is an abundant number, since it is smaller than the sum of its proper divisors (146897605080).

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

55664430120 is a wasteful number, since it uses less digits than its factorization.

55664430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54417 (or 54407 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 55664430120 its reverse (2103446655), we get a palindrome (57767876775).

The spelling of 55664430120 in words is "fifty-five billion, six hundred sixty-four million, four hundred thirty thousand, one hundred twenty".