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135632540967 = 37113118940447
BaseRepresentation
bin111111001010001010…
…1000101010100100111
3110222002110112222021020
41332110111011110213
54210233412302332
6142150404022223
712541046401410
oct1762425052447
9428073488236
10135632540967
1152581040570
1222353091973
13ca36ab3701
1467c9584807
1537dc5b482c
hex1f94545527

135632540967 has 32 divisors (see below), whose sum is σ = 232740225024. Its totient is φ = 68185605600.

The previous prime is 135632540957. The next prime is 135632541049. The reversal of 135632540967 is 769045236531.

It is a happy number.

It is not a de Polignac number, because 135632540967 - 28 = 135632540711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135632540957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9463063 + ... + 9477384.

It is an arithmetic number, because the mean of its divisors is an integer number (7273132032).

Almost surely, 2135632540967 is an apocalyptic number.

135632540967 is a deficient number, since it is larger than the sum of its proper divisors (97107684057).

135632540967 is a wasteful number, since it uses less digits than its factorization.

135632540967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940499.

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 135632540967 in words is "one hundred thirty-five billion, six hundred thirty-two million, five hundred forty thousand, nine hundred sixty-seven".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 341 651 1023 2387 7161 18940447 56821341 132583129 208344917 397749387 587153857 625034751 1458414419 1761461571 4110076999 4375243257 6458692427 12330230997 19376077281 45210846989 135632540967