Search a number
-
+
135106643633 = 1337475976319
BaseRepresentation
bin111110111010011111…
…0111100011010110001
3110220201210222121202012
41331310332330122301
54203144300044013
6142022300132305
712522032344133
oct1756476743261
9426653877665
10135106643633
11523311a6075
1222226b37095
13c981b61b60
1467797ab053
1537ab3331a8
hex1f74fbc6b1

135106643633 has 16 divisors (see below), whose sum is σ = 152611307520. Its totient is φ = 118761391296.

The previous prime is 135106643629. The next prime is 135106643647. The reversal of 135106643633 is 336346601531.

It is a cyclic number.

It is not a de Polignac number, because 135106643633 - 22 = 135106643629 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135106643603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2965553 + ... + 3010766.

It is an arithmetic number, because the mean of its divisors is an integer number (9538206720).

Almost surely, 2135106643633 is an apocalyptic number.

135106643633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135106643633 is a deficient number, since it is larger than the sum of its proper divisors (17504663887).

135106643633 is a wasteful number, since it uses less digits than its factorization.

135106643633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976416.

The product of its (nonzero) digits is 349920, while the sum is 41.

The spelling of 135106643633 in words is "one hundred thirty-five billion, one hundred six million, six hundred forty-three thousand, six hundred thirty-three".

Divisors: 1 13 37 47 481 611 1739 22607 5976319 77692147 221123803 280886993 2874609439 3651530909 10392818741 135106643633