Search a number
-
+
9979899072 = 26311131033529
BaseRepresentation
bin10010100101101100…
…10010110011000000
3221202111221101211120
421102312102303000
5130414323232242
64330143512240
7502211512443
oct112266226300
927674841746
109979899072
114261435980
121b262b8680
13c307a0130
146a960d65a
153d623c1ec
hex252d92cc0

9979899072 has 224 divisors, whose sum is σ = 31331489280. Its totient is φ = 2763694080.

The previous prime is 9979899071. The next prime is 9979899107. The reversal of 9979899072 is 2709989799.

It is a super-2 number, since 2×99798990722 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9979898988 and 9979899006.

It is not an unprimeable number, because it can be changed into a prime (9979899071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2826204 + ... + 2829732.

It is an arithmetic number, because the mean of its divisors is an integer number (139872720).

Almost surely, 29979899072 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 9979899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665744640).

9979899072 is an abundant number, since it is smaller than the sum of its proper divisors (21351590208).

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

9979899072 is a wasteful number, since it uses less digits than its factorization.

9979899072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 69.

The square root of 9979899072 is about 99899.4448032620. Note that the first 3 decimals coincide. The cubic root of 9979899072 is about 2152.9901838491.

The spelling of 9979899072 in words is "nine billion, nine hundred seventy-nine million, eight hundred ninety-nine thousand, seventy-two".