Search a number
-
+
172411892136 = 2332111779716067
BaseRepresentation
bin1010000010010010001…
…1001011000110101000
3121111000200101121010200
42200210203023012220
510311044421022021
6211112133112200
715312345621441
oct2404443130650
9544020347120
10172411892136
1167135022460
12294b8488660
13133488478b3
1484b81102c8
154741470126
hex28248cb1a8

172411892136 has 192 divisors, whose sum is σ = 540073759680. Its totient is φ = 49107978240.

The previous prime is 172411892131. The next prime is 172411892143. The reversal of 172411892136 is 631298114271.

172411892136 is a `hidden beast` number, since 17 + 2 + 411 + 8 + 9 + 213 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 172411892091 and 172411892100.

It is not an unprimeable number, because it can be changed into a prime (172411892131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10722775 + ... + 10738841.

It is an arithmetic number, because the mean of its divisors is an integer number (2812884165).

Almost surely, 2172411892136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172411892136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270036879840).

172411892136 is an abundant number, since it is smaller than the sum of its proper divisors (367661867544).

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

172411892136 is a wasteful number, since it uses less digits than its factorization.

172411892136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16904 (or 16897 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 172411892136 in words is "one hundred seventy-two billion, four hundred eleven million, eight hundred ninety-two thousand, one hundred thirty-six".