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2132521632 = 253213735393
BaseRepresentation
bin111111100011011…
…1011001010100000
312111121201022201200
41333012323022200
513331411143012
6551335201200
7103563064143
oct17706731240
95447638650
102132521632
119a483107a
124b6216200
1327ca66827
1416331405a
15c733d3dc
hex7f1bb2a0

2132521632 has 72 divisors (see below), whose sum is σ = 6069900564. Its totient is φ = 710191104.

The previous prime is 2132521597. The next prime is 2132521669. The reversal of 2132521632 is 2361252312.

It is a happy number.

2132521632 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 5 + 21 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1408050576 + 724471056 = 37524^2 + 26916^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2132521596 and 2132521605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392728 + ... + 398120.

Almost surely, 22132521632 is an apocalyptic number.

It is an amenable number.

2132521632 is an abundant number, since it is smaller than the sum of its proper divisors (3937378932).

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

2132521632 is a wasteful number, since it uses less digits than its factorization.

2132521632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6771 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2132521632 is about 46179.2337745008. The cubic root of 2132521632 is about 1287.1558902167.

Adding to 2132521632 its reverse (2361252312), we get a palindrome (4493773944).

The spelling of 2132521632 in words is "two billion, one hundred thirty-two million, five hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1373 2746 4119 5393 5492 8238 10786 10984 12357 16179 16476 21572 21968 24714 32358 32952 43144 43936 48537 49428 64716 65904 86288 97074 98856 129432 131808 172576 194148 197712 258864 388296 395424 517728 776592 1553184 7404589 14809178 22213767 29618356 44427534 59236712 66641301 88855068 118473424 133282602 177710136 236946848 266565204 355420272 533130408 710840544 1066260816 2132521632