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132505024224 = 25313159104891
BaseRepresentation
bin111101101100111101…
…0100011011011100000
3110200000111120122211210
41323121322203123200
54132332241233344
6140512202310120
712400412056656
oct1733172433340
9420014518753
10132505024224
11512166a4991
122181b7b8340
13c658b72aa1
1465b0066dd6
1536a7c32db9
hex1ed9ea36e0

132505024224 has 48 divisors (see below), whose sum is σ = 347855437440. Its totient is φ = 44164563840.

The previous prime is 132505024199. The next prime is 132505024261. The reversal of 132505024224 is 422420505231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 132505024191 and 132505024200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210819 + ... + 1315709.

It is an arithmetic number, because the mean of its divisors is an integer number (7246988280).

Almost surely, 2132505024224 is an apocalyptic number.

It is an amenable number.

132505024224 is an abundant number, since it is smaller than the sum of its proper divisors (215350413216).

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

132505024224 is a wasteful number, since it uses less digits than its factorization.

132505024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118063 (or 118055 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 132505024224 its reverse (422420505231), we get a palindrome (554925529455).

The spelling of 132505024224 in words is "one hundred thirty-two billion, five hundred five million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 13159 26318 39477 52636 78954 104891 105272 157908 209782 210544 314673 315816 419564 421088 629346 631632 839128 1258692 1263264 1678256 2517384 3356512 5034768 10069536 1380260669 2760521338 4140782007 5521042676 8281564014 11042085352 16563128028 22084170704 33126256056 44168341408 66252512112 132505024224