Search a number
-
+
132250633632 = 2534132319739
BaseRepresentation
bin111101100101011000…
…0001000010110100000
3110122100202220021120000
41323022300020112200
54131322130234012
6140431034020000
712361202560305
oct1731260102640
9418322807500
10132250633632
11510a6042527
122176a577600
13c618253b00
1465883670ac
153690732ddc
hex1ecac085a0

132250633632 has 360 divisors, whose sum is σ = 434796405120. Its totient is φ = 39375797760.

The previous prime is 132250633621. The next prime is 132250633649. The reversal of 132250633632 is 236336052231.

132250633632 is a `hidden beast` number, since 13 + 2 + 2 + 5 + 0 + 6 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×1322506336322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13574619 + ... + 13584357.

It is an arithmetic number, because the mean of its divisors is an integer number (1207767792).

Almost surely, 2132250633632 is an apocalyptic number.

132250633632 is a gapful number since it is divisible by the number (12) 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 132250633632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217398202560).

132250633632 is an abundant number, since it is smaller than the sum of its proper divisors (302545771488).

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

132250633632 is a wasteful number, since it uses less digits than its factorization.

132250633632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 132250633632 its reverse (236336052231), we get a palindrome (368586685863).

The spelling of 132250633632 in words is "one hundred thirty-two billion, two hundred fifty million, six hundred thirty-three thousand, six hundred thirty-two".