Search a number
-
+
135746621455662 = 236713300668377
BaseRepresentation
bin11110110111010111111001…
…001001101011110100101110
3122210122020202110010011000000
4132313113321021223310232
5120243033040043040122
61200413045331245130
740410240553136460
oct3667277111536456
9583566673104000
10135746621455662
113a2869009a5028
1213284730a497a6
135a98b0b903129
142574258996130
1510a6133cec0ac
hex7b75f926bd2e

135746621455662 has 56 divisors (see below), whose sum is σ = 348903132891696. Its totient is φ = 38784748984416.

The previous prime is 135746621455661. The next prime is 135746621455721. The reversal of 135746621455662 is 266554126647531.

It is a happy number.

135746621455662 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 4 + 6 + 6 + 2 + 14 + 556 + 62 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 135746621455662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135746621455661) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6650323983 + ... + 6650344394.

Almost surely, 2135746621455662 is an apocalyptic number.

135746621455662 is an abundant number, since it is smaller than the sum of its proper divisors (213156511436034).

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

135746621455662 is an equidigital number, since it uses as much as digits as its factorization.

135746621455662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13300668404 (or 13300668389 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 63.

The spelling of 135746621455662 in words is "one hundred thirty-five trillion, seven hundred forty-six billion, six hundred twenty-one million, four hundred fifty-five thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 3402 5103 10206 13300668377 26601336754 39902005131 79804010262 93104678639 119706015393 186209357278 239412030786 279314035917 359118046179 558628071834 718236092358 837942107751 1077354138537 1675884215502 2154708277074 2513826323253 3232062415611 5027652646506 6464124831222 7541478969759 9696187246833 15082957939518 19392374493666 22624436909277 45248873818554 67873310727831 135746621455662