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132366726640 = 2457097733019
BaseRepresentation
bin111101101000110101…
…0111111010111110000
3110122122212100102020001
41323101222333113300
54132041340223030
6140450342155344
712364112420011
oct1732152772760
9418585312201
10132366726640
1151155625965
12217a1422b54
13c6363105b5
146599947008
15369aa15cca
hex1ed1abf5f0

132366726640 has 80 divisors (see below), whose sum is σ = 308687608800. Its totient is φ = 52786123776.

The previous prime is 132366726623. The next prime is 132366726649. The reversal of 132366726640 is 46627663231.

It is a happy number.

132366726640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132366726649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43843051 + ... + 43846069.

It is an arithmetic number, because the mean of its divisors is an integer number (3858595110).

Almost surely, 2132366726640 is an apocalyptic number.

132366726640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132366726640 is an abundant number, since it is smaller than the sum of its proper divisors (176320882160).

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

132366726640 is a wasteful number, since it uses less digits than its factorization.

132366726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 46.

The spelling of 132366726640 in words is "one hundred thirty-two billion, three hundred sixty-six million, seven hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 709 773 1418 1546 2836 3019 3092 3545 3865 5672 6038 6184 7090 7730 11344 12076 12368 14180 15095 15460 24152 28360 30190 30920 48304 56720 60380 61840 120760 241520 548057 1096114 2140471 2192228 2333687 2740285 4280942 4384456 4667374 5480570 8561884 8768912 9334748 10702355 10961140 11668435 17123768 18669496 21404710 21922280 23336870 34247536 37338992 42809420 43844560 46673740 85618840 93347480 171237680 186694960 1654584083 3309168166 6618336332 8272920415 13236672664 16545840830 26473345328 33091681660 66183363320 132366726640