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13132443492 = 22347172359251
BaseRepresentation
bin11000011101100000…
…10010111101100100
31020220020000020210000
430032300102331210
5203343401142432
610011041501300
7643301633160
oct141660227544
936806006700
1013132443492
115629a16193
122666041830
13131396472c
148c81a3ca0
1551cdb457c
hex30ec12f64

13132443492 has 480 divisors, whose sum is σ = 44259747840. Its totient is φ = 3307392000.

The previous prime is 13132443487. The next prime is 13132443517. The reversal of 13132443492 is 29434423131.

13132443492 is a `hidden beast` number, since 1 + 3 + 132 + 4 + 434 + 92 = 666.

It is a super-2 number, since 2×131324434922 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52320367 + ... + 52320617.

It is an arithmetic number, because the mean of its divisors is an integer number (92207808).

Almost surely, 213132443492 is an apocalyptic number.

13132443492 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 13132443492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22129873920).

13132443492 is an abundant number, since it is smaller than the sum of its proper divisors (31127304348).

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

13132443492 is a wasteful number, since it uses less digits than its factorization.

13132443492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 13132443492 in words is "thirteen billion, one hundred thirty-two million, four hundred forty-three thousand, four hundred ninety-two".