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55232325252 = 223313277142019
BaseRepresentation
bin110011011100000110…
…100110011010000100
312021120020100211112000
4303130012212122010
51401103433402002
641212352225300
73663465006216
oct633406463204
9167506324460
1055232325252
11214732314a5
12a85523b230
135292a93080
14295d5ca5b6
151683ddd61c
hexcdc1a6684

55232325252 has 96 divisors (see below), whose sum is σ = 154767715200. Its totient is φ = 16933090176.

The previous prime is 55232325217. The next prime is 55232325299. The reversal of 55232325252 is 25252323255.

55232325252 is a `hidden beast` number, since 5 + 52 + 32 + 325 + 252 = 666.

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

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, 317899 + ... + 459917.

It is an arithmetic number, because the mean of its divisors is an integer number (1612163700).

Almost surely, 255232325252 is an apocalyptic number.

55232325252 is a gapful number since it is divisible by the number (52) 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 55232325252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77383857600).

55232325252 is an abundant number, since it is smaller than the sum of its proper divisors (99535389948).

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

55232325252 is a wasteful number, since it uses less digits than its factorization.

55232325252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142322 (or 142314 counting only the distinct ones).

The product of its digits is 180000, while the sum is 36.

The spelling of 55232325252 in words is "fifty-five billion, two hundred thirty-two million, three hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 277 351 468 554 702 831 1108 1404 1662 2493 3324 3601 4986 7202 7479 9972 10803 14404 14958 21606 29916 32409 43212 64818 97227 129636 142019 194454 284038 388908 426057 568076 852114 1278171 1704228 1846247 2556342 3692494 3834513 5112684 5538741 7384988 7669026 11077482 15338052 16616223 22154964 33232446 39339263 49848669 66464892 78678526 99697338 118017789 157357052 199394676 236035578 354053367 472071156 511410419 708106734 1022820838 1062160101 1416213468 1534231257 2045641676 2124320202 3068462514 4248640404 4602693771 6136925028 9205387542 13808081313 18410775084 27616162626 55232325252