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136454442696 = 233311133124597
BaseRepresentation
bin111111100010101010…
…0011000111011001000
3111001012202002220111000
41333011110120323020
54213424314131241
6142404124135000
712600316424355
oct1770524307310
9431182086430
10136454442696
1152962a804a0
1222542397460
13cb381644b0
1468667b162c
153839815eb6
hex1fc5518ec8

136454442696 has 384 divisors, whose sum is σ = 460234051200. Its totient is φ = 36929779200.

The previous prime is 136454442643. The next prime is 136454442701. The reversal of 136454442696 is 696244454631.

136454442696 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 544 + 4 + 2 + 6 + 96 = 666.

136454442696 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29681070 + ... + 29685666.

It is an arithmetic number, because the mean of its divisors is an integer number (1198526175).

Almost surely, 2136454442696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136454442696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230117025600).

136454442696 is an abundant number, since it is smaller than the sum of its proper divisors (323779608504).

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

136454442696 is a wasteful number, since it uses less digits than its factorization.

136454442696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4657 counting only the distinct ones).

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

The spelling of 136454442696 in words is "one hundred thirty-six billion, four hundred fifty-four million, four hundred forty-two thousand, six hundred ninety-six".