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132641261020 = 22517233849137
BaseRepresentation
bin111101110001000001…
…0010000010111011100
3110200100222221012121001
41323202002100113130
54133122130323040
6140533510320044
712403655054542
oct1734202202734
9420328835531
10132641261020
1151286596684
1221859359024
13c67b163288
1465c41abd92
1536b4b9459a
hex1ee20905dc

132641261020 has 24 divisors (see below), whose sum is σ = 278708384304. Its totient is φ = 53025697536.

The previous prime is 132641261017. The next prime is 132641261021. The reversal of 132641261020 is 20162146231.

132641261020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132641261020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132641261021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1890109 + ... + 1959028.

It is an arithmetic number, because the mean of its divisors is an integer number (11612849346).

Almost surely, 2132641261020 is an apocalyptic number.

132641261020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132641261020 is an abundant number, since it is smaller than the sum of its proper divisors (146067123284).

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

132641261020 is a wasteful number, since it uses less digits than its factorization.

132641261020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850869 (or 3850867 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 132641261020 in words is "one hundred thirty-two billion, six hundred forty-one million, two hundred sixty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 1723 3446 6892 8615 17230 34460 3849137 7698274 15396548 19245685 38491370 76982740 6632063051 13264126102 26528252204 33160315255 66320630510 132641261020