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132033698964 = 22325228970141
BaseRepresentation
bin111101011110111010…
…0100101110010010100
3110121210122200212010200
41322331310211302110
54130401111331324
6140353324220500
712352626631566
oct1727564456224
9417718625120
10132033698964
1150aa4643282
122170999a730
13c5b231a6bb
146567617336
15367b680ec9
hex1ebdd25c94

132033698964 has 36 divisors (see below), whose sum is σ = 333762991380. Its totient is φ = 44009763840.

The previous prime is 132033698947. The next prime is 132033698971. The reversal of 132033698964 is 469896330231.

132033698964 is a `hidden beast` number, since 13 + 203 + 369 + 8 + 9 + 64 = 666.

132033698964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 75208674564 + 56825024400 = 274242^2 + 238380^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132033698964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1847334 + ... + 1917474.

It is an arithmetic number, because the mean of its divisors is an integer number (9271194205).

Almost surely, 2132033698964 is an apocalyptic number.

It is an amenable number.

132033698964 is an abundant number, since it is smaller than the sum of its proper divisors (201729292416).

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

132033698964 is a wasteful number, since it uses less digits than its factorization.

132033698964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122440 (or 122435 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 132033698964 in words is "one hundred thirty-two billion, thirty-three million, six hundred ninety-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 52289 70141 104578 140282 156867 209156 210423 280564 313734 420846 470601 627468 631269 841692 941202 1262538 1882404 2525076 3667602749 7335205498 11002808247 14670410996 22005616494 33008424741 44011232988 66016849482 132033698964