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132214466416653 = 32411995671795411
BaseRepresentation
bin11110000011111110010100…
…010011100001000000001101
3122100010120122111020221011200
4132003332110103201000031
5114312200211400313103
61145110253134340113
736564115505524425
oct3603762423410015
9570116574227150
10132214466416653
1139144927517155
12129b407135a639
1358a0a0327167a
142491300139485
151044305a610a3
hex783f944e100d

132214466416653 has 24 divisors (see below), whose sum is σ = 195635502980736. Its totient is φ = 85992670094400.

The previous prime is 132214466416619. The next prime is 132214466416687. The reversal of 132214466416653 is 356614664412231.

132214466416653 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 14 + 466 + 4 + 166 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (132214466416619) and next prime (132214466416687).

It is not a de Polignac number, because 132214466416653 - 28 = 132214466416397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132214466416653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214466416693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72742518 + ... + 74537928.

It is an arithmetic number, because the mean of its divisors is an integer number (8151479290864).

Almost surely, 2132214466416653 is an apocalyptic number.

It is an amenable number.

132214466416653 is a deficient number, since it is larger than the sum of its proper divisors (63421036564083).

132214466416653 is a wasteful number, since it uses less digits than its factorization.

132214466416653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995025 (or 1995022 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 132214466416653 in words is "one hundred thirty-two trillion, two hundred fourteen billion, four hundred sixty-six million, four hundred sixteen thousand, six hundred fifty-three".

Divisors: 1 3 9 41 123 369 199567 598701 1795411 1796103 5386233 8182247 16158699 24546741 73611851 73640223 220835553 662506659 358304787037 1074914361111 3224743083333 14690496268517 44071488805551 132214466416653