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55653850764 = 22332297612957
BaseRepresentation
bin110011110101001110…
…100101111010001100
312022122121112112211000
4303311032211322030
51402434341211024
641322251100300
74010103632451
oct636516457214
9168577475730
1055653850764
112166a169896
12a952441690
13532c200255
14299d595828
1516aae04cc9
hexcf53a5e8c

55653850764 has 96 divisors (see below), whose sum is σ = 145157342400. Its totient is φ = 18439764480.

The previous prime is 55653850751. The next prime is 55653850781. The reversal of 55653850764 is 46705835655.

It is a happy number.

55653850764 is a `hidden beast` number, since 5 + 56 + 538 + 50 + 7 + 6 + 4 = 666.

It is a super-2 number, since 2×556538507642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55653850764.

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, 18819574 + ... + 18822530.

It is an arithmetic number, because the mean of its divisors is an integer number (1512055650).

Almost surely, 255653850764 is an apocalyptic number.

55653850764 is a gapful number since it is divisible by the number (54) 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 55653850764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72578671200).

55653850764 is an abundant number, since it is smaller than the sum of its proper divisors (89503491636).

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

55653850764 is a wasteful number, since it uses less digits than its factorization.

55653850764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 55653850764 in words is "fifty-five billion, six hundred fifty-three million, eight hundred fifty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 687 761 916 1374 1522 2061 2283 2748 2957 3044 4122 4566 5914 6183 6849 8244 8871 9132 11828 12366 13698 17742 20547 24732 26613 27396 35484 41094 53226 79839 82188 106452 159678 174269 319356 348538 522807 677153 697076 1045614 1354306 1568421 2031459 2091228 2250277 2708612 3136842 4062918 4500554 4705263 6094377 6273684 6750831 8125836 9001108 9410526 12188754 13501662 18283131 18821052 20252493 24377508 27003324 36566262 40504986 60757479 73132524 81009972 121514958 243029916 515313433 1030626866 1545940299 2061253732 3091880598 4637820897 6183761196 9275641794 13913462691 18551283588 27826925382 55653850764