Search a number
-
+
113197469638932 = 22347709163743003
BaseRepresentation
bin11001101111001111010110…
…111101111010000100010100
3112211210120110021210002020000
4121233033112331322010110
5104314111404211421212
61040430111043011300
732562150552150660
oct3157172675720424
9484716407702200
10113197469638932
1133082860617378
1210842517669b30
134b21624b20953
141dd4b02c438a0
15d147d51a41dc
hex66f3d6f7a114

113197469638932 has 240 divisors, whose sum is σ = 338886678049920. Its totient is φ = 32276037973248.

The previous prime is 113197469638921. The next prime is 113197469638937. The reversal of 113197469638932 is 239836964791311.

It is a happy number.

113197469638932 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 97 + 46 + 96 + 389 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113197469638937) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2632294143 + ... + 2632337145.

It is an arithmetic number, because the mean of its divisors is an integer number (1412027825208).

Almost surely, 2113197469638932 is an apocalyptic number.

113197469638932 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 113197469638932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169443339024960).

113197469638932 is an abundant number, since it is smaller than the sum of its proper divisors (225689208410988).

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

113197469638932 is a wasteful number, since it uses less digits than its factorization.

113197469638932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45372 (or 45361 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 72.

The spelling of 113197469638932 in words is "one hundred thirteen trillion, one hundred ninety-seven billion, four hundred sixty-nine million, six hundred thirty-eight thousand, nine hundred thirty-two".