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132002664013441 = 1361732280271969
BaseRepresentation
bin11110000000111001000011…
…111001011101111010000001
3122022101022221121200001011101
4132000321003321131322001
5114300212423441412231
61144425104154014401
736542610033021544
oct3600710371357201
9568338847601141
10132002664013441
1139073019595811
121297b001117401
135886a4aa13170
142484d6a79485b
15103da5b39d661
hex780e43e5de81

132002664013441 has 16 divisors (see below), whose sum is σ = 146466429177040. Its totient is φ = 118209298821120.

The previous prime is 132002664013421. The next prime is 132002664013499. The reversal of 132002664013441 is 144310466200231.

It can be written as a sum of positive squares in 8 ways, for example, as 43900430547600 + 88102233465841 = 6625740^2 + 9386279^2 .

It is not a de Polignac number, because 132002664013441 - 27 = 132002664013313 is a prime.

It is a super-2 number, since 2×1320026640134412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132002664013441.

It is not an unprimeable number, because it can be changed into a prime (132002664013421) 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, 1140078096 + ... + 1140193873.

It is an arithmetic number, because the mean of its divisors is an integer number (9154151823565).

Almost surely, 2132002664013441 is an apocalyptic number.

It is an amenable number.

132002664013441 is a deficient number, since it is larger than the sum of its proper divisors (14463765163599).

132002664013441 is a wasteful number, since it uses less digits than its factorization.

132002664013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280272116.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 132002664013441 in words is "one hundred thirty-two trillion, two billion, six hundred sixty-four million, thirteen thousand, four hundred forty-one".

Divisors: 1 13 61 73 793 949 4453 57889 2280271969 29643535597 139096590109 166459853737 1808255671417 2163978098581 10154051077957 132002664013441