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132007920413 = 17101180142689
BaseRepresentation
bin111101011110001001…
…0010000001100011101
3110121201212012011121112
41322330102100030131
54130323011423123
6140351003511405
712352164544505
oct1727422201435
9417655164545
10132007920413
1150a91036496
1221701228565
13c5a9b93015
146564026a05
15367928cd78
hex1ebc49031d

132007920413 has 16 divisors (see below), whose sum is σ = 141238669680. Its totient is φ = 122941440000.

The previous prime is 132007920397. The next prime is 132007920433. The reversal of 132007920413 is 314029700231.

It can be written as a sum of positive squares in 8 ways, for example, as 3501443929 + 128506476484 = 59173^2 + 358478^2 .

It is a cyclic number.

It is not a de Polignac number, because 132007920413 - 24 = 132007920397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132007920413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132007920433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070973 + ... + 3113661.

It is an arithmetic number, because the mean of its divisors is an integer number (8827416855).

Almost surely, 2132007920413 is an apocalyptic number.

It is an amenable number.

132007920413 is a deficient number, since it is larger than the sum of its proper divisors (9230749267).

132007920413 is a wasteful number, since it uses less digits than its factorization.

132007920413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44608.

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 132007920413 in words is "one hundred thirty-two billion, seven million, nine hundred twenty thousand, four hundred thirteen".

Divisors: 1 17 101 1717 1801 30617 42689 181901 725713 3092317 4311589 73297013 76882889 1307009113 7765171789 132007920413