Search a number
-
+
106926598200 = 233521632773947
BaseRepresentation
bin110001110010101010…
…0100110100000111000
3101012222220020222200210
41203211110212200320
53222441202120300
6121042120031120
710503512042232
oct1434524464070
9335886228623
10106926598200
1141390305924
12188816024a0
13a110855666
145264d51252
152bac3a5050
hex18e5526838

106926598200 has 192 divisors, whose sum is σ = 334794821760. Its totient is φ = 28229368320.

The previous prime is 106926598199. The next prime is 106926598231. The reversal of 106926598200 is 2895629601.

It is a super-2 number, since 2×1069265982002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106926598200.

It is a congruent number.

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, 27088627 + ... + 27092573.

It is an arithmetic number, because the mean of its divisors is an integer number (1743723030).

Almost surely, 2106926598200 is an apocalyptic number.

106926598200 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 106926598200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167397410880).

106926598200 is an abundant number, since it is smaller than the sum of its proper divisors (227868223560).

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

106926598200 is a wasteful number, since it uses less digits than its factorization.

106926598200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 106926598200 in words is "one hundred six billion, nine hundred twenty-six million, five hundred ninety-eight thousand, two hundred".