Search a number
-
+
135861664968 = 233216711299207
BaseRepresentation
bin111111010000111111…
…1000111110011001000
3110222200102200200022100
41332201333013303020
54211221041234333
6142225230553400
712546531045411
oct1764177076310
9428612620270
10135861664968
1152689405847
12223b7968860
13ca723c7043
14680bb88808
153802773213
hex1fa1fc7cc8

135861664968 has 48 divisors (see below), whose sum is σ = 370162054080. Its totient is φ = 45016036704.

The previous prime is 135861664963. The next prime is 135861664997. The reversal of 135861664968 is 869466168531.

135861664968 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 616 + 6 + 4 + 9 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (135861664963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5637580 + ... + 5661627.

It is an arithmetic number, because the mean of its divisors is an integer number (7711709460).

Almost surely, 2135861664968 is an apocalyptic number.

135861664968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135861664968 is an abundant number, since it is smaller than the sum of its proper divisors (234300389112).

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

135861664968 is a wasteful number, since it uses less digits than its factorization.

135861664968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11299386 (or 11299379 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 135861664968 in words is "one hundred thirty-five billion, eight hundred sixty-one million, six hundred sixty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 2004 3006 4008 6012 12024 11299207 22598414 33897621 45196828 67795242 90393656 101692863 135590484 203385726 271180968 406771452 813542904 1886967569 3773935138 5660902707 7547870276 11321805414 15095740552 16982708121 22643610828 33965416242 45287221656 67930832484 135861664968