Search a number
-
+
109997491896 = 233241473971997
BaseRepresentation
bin110011001110001011…
…1001000011010111000
3101111220220200112220100
41212130113020122320
53300233324220041
6122310535555400
710642561153125
oct1463427103270
9344826615810
10109997491896
11427167977a6
1219399b2bb60
13a4acb2c416
145476b2d74c
152cdbc9e6b6
hex199c5c86b8

109997491896 has 192 divisors, whose sum is σ = 312610596480. Its totient is φ = 34904770560.

The previous prime is 109997491889. The next prime is 109997491897. The reversal of 109997491896 is 698194799901.

109997491896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109997491897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55080370 + ... + 55082366.

It is an arithmetic number, because the mean of its divisors is an integer number (1628180190).

Almost surely, 2109997491896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109997491896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156305298240).

109997491896 is an abundant number, since it is smaller than the sum of its proper divisors (202613104584).

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

109997491896 is a wasteful number, since it uses less digits than its factorization.

109997491896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 72.

The spelling of 109997491896 in words is "one hundred nine billion, nine hundred ninety-seven million, four hundred ninety-one thousand, eight hundred ninety-six".