Search a number
-
+
9990805860 = 22325731237223
BaseRepresentation
bin10010100110111111…
…11001100101100100
3221210021110112010200
421103133321211210
5130430121241420
64331213350500
7502403306610
oct112337714544
927707415120
109990805860
114267605352
121b29a98430
13c32b1b659
146aac4c340
153d7193b90
hex2537f9964

9990805860 has 432 divisors, whose sum is σ = 36920153088. Its totient is φ = 2140577280.

The previous prime is 9990805859. The next prime is 9990805861. The reversal of 9990805860 is 685080999.

It is an interprime number because it is at equal distance from previous prime (9990805859) and next prime (9990805861).

It is a junction number, because it is equal to n+sod(n) for n = 9990805797 and 9990805806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990805861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44801709 + ... + 44801931.

Almost surely, 29990805860 is an apocalyptic number.

9990805860 is a gapful number since it is divisible by the number (90) 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 9990805860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18460076544).

9990805860 is an abundant number, since it is smaller than the sum of its proper divisors (26929347228).

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

9990805860 is a wasteful number, since it uses less digits than its factorization.

9990805860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 9990805860 is about 99954.0187286134. The cubic root of 9990805860 is about 2153.7742151018.

The spelling of 9990805860 in words is "nine billion, nine hundred ninety million, eight hundred five thousand, eight hundred sixty".