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132132561624401 = 13371811871811171
BaseRepresentation
bin11110000010110010000010…
…011001100001110101010001
3122022211202020101221101102112
4132002302002121201311101
5114304324441233440101
61145004505534355105
736555156024343562
oct3602620231416521
9568752211841375
10132132561624401
11391131173914a8
12129a021365ba95
13589607c618960
14248b37040a169
1510421102396bb
hex782c82661d51

132132561624401 has 32 divisors (see below), whose sum is σ = 147028597986816. Its totient is φ = 117953203104000.

The previous prime is 132132561624367. The next prime is 132132561624449. The reversal of 132132561624401 is 104426165231231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132132561624401 is a prime.

It is a super-2 number, since 2×1321325616244012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132132561624461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162485546 + ... + 163296716.

It is an arithmetic number, because the mean of its divisors is an integer number (4594643687088).

Almost surely, 2132132561624401 is an apocalyptic number.

It is an amenable number.

132132561624401 is a deficient number, since it is larger than the sum of its proper divisors (14896036362415).

132132561624401 is a wasteful number, since it uses less digits than its factorization.

132132561624401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813273.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 132132561624401 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, five hundred sixty-one million, six hundred twenty-four thousand, four hundred one".

Divisors: 1 13 37 181 481 1871 2353 6697 24323 69227 87061 338651 811171 899951 4402463 10545223 12530087 30013327 146821951 162891131 390173251 1517700941 1908685363 5432412187 19730112233 56154934817 70621358431 274703870321 730014152621 3571150314173 10164043201877 132132561624401