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12537324540 = 22325135357831
BaseRepresentation
bin10111010110100100…
…00110001111111100
31012100202012002001100
423223102012033330
5201134023341130
65432022213100
7622454333406
oct135322061774
935322162040
1012537324540
115353aa1544
12251a884190
13124a587740
1486d12bb76
154d5a0cc60
hex2eb4863fc

12537324540 has 72 divisors (see below), whose sum is σ = 40955267808. Its totient is φ = 3086110080.

The previous prime is 12537324539. The next prime is 12537324563. The reversal of 12537324540 is 4542373521.

12537324540 is a `hidden beast` number, since 1 + 2 + 5 + 373 + 245 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12537324495 and 12537324504.

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 23 ways as a sum of consecutive naturals, for example, 2676576 + ... + 2681255.

It is an arithmetic number, because the mean of its divisors is an integer number (568823164).

Almost surely, 212537324540 is an apocalyptic number.

12537324540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12537324540 is an abundant number, since it is smaller than the sum of its proper divisors (28417943268).

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

12537324540 is a wasteful number, since it uses less digits than its factorization.

12537324540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357859 (or 5357854 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 12537324540 in words is "twelve billion, five hundred thirty-seven million, three hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5357831 10715662 16073493 21431324 26789155 32146986 48220479 53578310 64293972 69651803 80367465 96440958 107156620 139303606 160734930 192881916 208955409 241102395 278607212 321469860 348259015 417910818 482204790 626866227 696518030 835821636 964409580 1044777045 1253732454 1393036060 2089554090 2507464908 3134331135 4179108180 6268662270 12537324540