Search a number
-
+
10998936312 = 2337213977417
BaseRepresentation
bin10100011111001011…
…00111001011111000
31001101112102212010120
422033211213023320
5140011211430222
65015225213240
7536364262500
oct121745471370
931345385116
1010998936312
114734681711
12216b631220
131063944450
14764ab4a00
1544592e15c
hex28f9672f8

10998936312 has 192 divisors, whose sum is σ = 34807036320. Its totient is φ = 2870525952.

The previous prime is 10998936253. The next prime is 10998936349. The reversal of 10998936312 is 21363989901.

It is a happy number.

It is a super-2 number, since 2×109989363122 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1479228 + ... + 1486644.

Almost surely, 210998936312 is an apocalyptic number.

10998936312 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 10998936312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403518160).

10998936312 is an abundant number, since it is smaller than the sum of its proper divisors (23808100008).

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

10998936312 is a wasteful number, since it uses less digits than its factorization.

10998936312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The spelling of 10998936312 in words is "ten billion, nine hundred ninety-eight million, nine hundred thirty-six thousand, three hundred twelve".