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132211261242036 = 22323672535034501
BaseRepresentation
bin11110000011111011010101…
…010000101111101010110100
3122100010021101010011012011200
4132003323111100233222310
5114312122130334221121
61145105003120332500
736563643206143134
oct3603732520575264
9570107333135150
10132211261242036
113914353225a009
12129b3517a74130
1358a0612210742
1424910b85a4ac4
1510441b948ea26
hex783ed542fab4

132211261242036 has 18 divisors (see below), whose sum is σ = 334200688139682. Its totient is φ = 44070420414000.

The previous prime is 132211261242023. The next prime is 132211261242037. The reversal of 132211261242036 is 630242162112231.

It is a happy number.

132211261242036 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 1 + 2 + 612 + 4 + 2 + 0 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76685574420900 + 55525686821136 = 8757030^2 + 7451556^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3672535034501 = 132211261242036 / (1 + 3 + 2 + 2 + 1 + 1 + 2 + 6 + 1 + 2 + 4 + 2 + 0 + 3 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211261242037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1836267517215 + ... + 1836267517286.

It is an arithmetic number, because the mean of its divisors is an integer number (18566704896649).

Almost surely, 2132211261242036 is an apocalyptic number.

It is an amenable number.

132211261242036 is an abundant number, since it is smaller than the sum of its proper divisors (201989426897646).

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

132211261242036 is a wasteful number, since it uses less digits than its factorization.

132211261242036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672535034511 (or 3672535034506 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 132211261242036 in words is "one hundred thirty-two trillion, two hundred eleven billion, two hundred sixty-one million, two hundred forty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3672535034501 7345070069002 11017605103503 14690140138004 22035210207006 33052815310509 44070420414012 66105630621018 132211261242036