Search a number
-
+
135106233264 = 24328531099927
BaseRepresentation
bin111110111010011110…
…1011000001110110000
3110220201210012202211100
41331310331120032300
54203144143431024
6142022243244400
712522026014542
oct1756475301660
9426653182740
10135106233264
1152330a45822
1222226979700
13c981a4a132
146779701692
1537ab2a17c9
hex1f74f583b0

135106233264 has 60 divisors (see below), whose sum is σ = 378553420336. Its totient is φ = 44982573696.

The previous prime is 135106233217. The next prime is 135106233281. The reversal of 135106233264 is 462332601531.

135106233264 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 623 + 3 + 26 + 4 = 666.

135106233264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 427132 + ... + 672795.

Almost surely, 2135106233264 is an apocalyptic number.

It is an amenable number.

135106233264 is an abundant number, since it is smaller than the sum of its proper divisors (243447187072).

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

135106233264 is a wasteful number, since it uses less digits than its factorization.

135106233264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100794 (or 1100785 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 135106233264 its reverse (462332601531), we get a palindrome (597438834795).

The spelling of 135106233264 in words is "one hundred thirty-five billion, one hundred six million, two hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 853 1706 2559 3412 5118 6824 7677 10236 13648 15354 20472 30708 40944 61416 122832 1099927 2199854 3299781 4399708 6599562 8799416 9899343 13199124 17598832 19798686 26398248 39597372 52796496 79194744 158389488 938237731 1876475462 2814713193 3752950924 5629426386 7505901848 8444139579 11258852772 15011803696 16888279158 22517705544 33776558316 45035411088 67553116632 135106233264