Search a number
-
+
135001624104 = 23331973172627
BaseRepresentation
bin111110110111010111…
…0010100111000101000
3110220110111101002001000
41331232232110320220
54202440403432404
6142004025155000
712516315604554
oct1755656247050
9426414332030
10135001624104
1152287996376
12221b792ba60
13c966181719
146769870864
1537a1edb339
hex1f6eb94e28

135001624104 has 64 divisors (see below), whose sum is σ = 376908206400. Its totient is φ = 44772098112.

The previous prime is 135001624039. The next prime is 135001624117. The reversal of 135001624104 is 401426100531.

It is a happy number.

135001624104 is a `hidden beast` number, since 1 + 35 + 0 + 0 + 1 + 624 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1543762 + ... + 1628865.

It is an arithmetic number, because the mean of its divisors is an integer number (5889190725).

Almost surely, 2135001624104 is an apocalyptic number.

It is an amenable number.

135001624104 is an abundant number, since it is smaller than the sum of its proper divisors (241906582296).

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

135001624104 is a wasteful number, since it uses less digits than its factorization.

135001624104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172839 (or 3172829 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 135001624104 its reverse (401426100531), we get a palindrome (536427724635).

The spelling of 135001624104 in words is "one hundred thirty-five billion, one million, six hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 197 216 394 591 788 1182 1576 1773 2364 3546 4728 5319 7092 10638 14184 21276 42552 3172627 6345254 9517881 12690508 19035762 25381016 28553643 38071524 57107286 76143048 85660929 114214572 171321858 228429144 342643716 625007519 685287432 1250015038 1875022557 2500030076 3750045114 5000060152 5625067671 7500090228 11250135342 15000180456 16875203013 22500270684 33750406026 45000541368 67500812052 135001624104