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9989133840 = 243457349631
BaseRepresentation
bin10010100110110011…
…00001011000010000
3221210011022120120000
421103121201120100
5130424204240330
64331113450000
7502353144120
oct112331413020
927704276500
109989133840
114266673114
121b29410900
13c326845aa
146aa934c80
153d6e63560
hex253661610

9989133840 has 400 divisors, whose sum is σ = 39826617600. Its totient is φ = 2273080320.

The previous prime is 9989133809. The next prime is 9989133871. The reversal of 9989133840 is 483319899.

9989133840 is a nontrivial binomial coefficient, being equal to C(141345, 2).

It is an interprime number because it is at equal distance from previous prime (9989133809) and next prime (9989133871).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15830325 + ... + 15830955.

It is an arithmetic number, because the mean of its divisors is an integer number (99566544).

Almost surely, 29989133840 is an apocalyptic number.

9989133840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9989133840 is the 141344-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9989133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19913308800).

9989133840 is an abundant number, since it is smaller than the sum of its proper divisors (29837483760).

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

9989133840 is a wasteful number, since it uses less digits than its factorization.

9989133840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 9989133840 is about 99945.6544327966. The cubic root of 9989133840 is about 2153.6540594800.

The spelling of 9989133840 in words is "nine billion, nine hundred eighty-nine million, one hundred thirty-three thousand, eight hundred forty".