Search a number
-
+
110927420632 = 2379797121031
BaseRepresentation
bin110011101001111001…
…0100001110011011000
3101121022201111211022101
41213103302201303120
53304134404430012
6122543115333144
711004612342460
oct1472362416330
9347281454271
10110927420632
1143053700a46
12195b94511b4
13a5ca6a4502
14552443aba0
152d4373dd57
hex19d3ca1cd8

110927420632 has 64 divisors (see below), whose sum is σ = 240410903040. Its totient is φ = 46999526400.

The previous prime is 110927420623. The next prime is 110927420687. The reversal of 110927420632 is 236024729011.

It is a junction number, because it is equal to n+sod(n) for n = 110927420591 and 110927420600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5263957 + ... + 5284987.

It is an arithmetic number, because the mean of its divisors is an integer number (3756420360).

Almost surely, 2110927420632 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 110927420632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120205451520).

110927420632 is an abundant number, since it is smaller than the sum of its proper divisors (129483482408).

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

110927420632 is a wasteful number, since it uses less digits than its factorization.

110927420632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22112 (or 22108 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 110927420632 in words is "one hundred ten billion, nine hundred twenty-seven million, four hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 971 1358 1942 2716 3884 5432 6797 7768 13594 21031 27188 42062 54376 84124 94187 147217 168248 188374 294434 376748 588868 659309 753496 1177736 1318618 2040007 2637236 4080014 5274472 8160028 14280049 16320056 20421101 28560098 40842202 57120196 81684404 114240392 142947707 163368808 285895414 571790828 1143581656 1980846797 3961693594 7923387188 13865927579 15846774376 27731855158 55463710316 110927420632