Search a number
-
+
132391009200 = 24352837431789
BaseRepresentation
bin111101101001100011…
…1100111101110110000
3110122201120001002122010
41323103013213232300
54132114044243300
6140453010442520
712364526003442
oct1732307475660
9418646032563
10132391009200
115116830079a
12217a9593440
13c63b363088
14659cc68492
15369cc10a50
hex1ed31e7bb0

132391009200 has 240 divisors, whose sum is σ = 430019976960. Its totient is φ = 34812503040.

The previous prime is 132391009189. The next prime is 132391009211. The reversal of 132391009200 is 2900193231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132391009189) and next prime (132391009211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74001906 + ... + 74003694.

It is an arithmetic number, because the mean of its divisors is an integer number (1791749904).

Almost surely, 2132391009200 is an apocalyptic number.

132391009200 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 132391009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215009988480).

132391009200 is an abundant number, since it is smaller than the sum of its proper divisors (297628967760).

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

132391009200 is a wasteful number, since it uses less digits than its factorization.

132391009200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 132391009200 in words is "one hundred thirty-two billion, three hundred ninety-one million, nine thousand, two hundred".