Search a number
-
+
132934800160 = 25523318913093
BaseRepresentation
bin111101111001110001…
…0000001001100100000
3110201010110021112121001
41323303202001030200
54134222302101120
6141022554041344
712414151105021
oct1736342011440
9421113245531
10132934800160
1151417257a08
122191b719254
13c6c6c0b386
14661117cc48
1536d0828e0a
hex1ef3881320

132934800160 has 192 divisors, whose sum is σ = 342111651840. Its totient is φ = 48664535040.

The previous prime is 132934800101. The next prime is 132934800161. The reversal of 132934800160 is 61008439231.

It is a super-2 number, since 2×1329348001602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132934800161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10146574 + ... + 10159666.

It is an arithmetic number, because the mean of its divisors is an integer number (1781831520).

Almost surely, 2132934800160 is an apocalyptic number.

132934800160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132934800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171055825920).

132934800160 is an abundant number, since it is smaller than the sum of its proper divisors (209176851680).

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

132934800160 is a wasteful number, since it uses less digits than its factorization.

132934800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13251 (or 13243 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 132934800160 in words is "one hundred thirty-two billion, nine hundred thirty-four million, eight hundred thousand, one hundred sixty".