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9992182912 = 27791397109
BaseRepresentation
bin10010100111001010…
…01001110010000000
3221210101001111002121
421103211021302000
5130430444323122
64331303054024
7502421103415
oct112345116200
927711044077
109992182912
114268365a08
121b2a441314
13c331b138a
146ab0ca10c
153d7366bc7
hex253949c80

9992182912 has 64 divisors (see below), whose sum is σ = 20306160000. Its totient is φ = 4896672768.

The previous prime is 9992182901. The next prime is 9992182913. The reversal of 9992182912 is 2192812999.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 9992182912.

It is not an unprimeable number, because it can be changed into a prime (9992182913) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1402014 + ... + 1409122.

It is an arithmetic number, because the mean of its divisors is an integer number (317283750).

Almost surely, 29992182912 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 9992182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10153080000).

9992182912 is an abundant number, since it is smaller than the sum of its proper divisors (10313977088).

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

9992182912 is a wasteful number, since it uses less digits than its factorization.

9992182912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7329 counting only the distinct ones).

The product of its digits is 419904, while the sum is 52.

The square root of 9992182912 is about 99960.9069186550. The cubic root of 9992182912 is about 2153.8731635043.

The spelling of 9992182912 in words is "nine billion, nine hundred ninety-two million, one hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 79 128 139 158 278 316 556 632 1112 1264 2224 2528 4448 5056 7109 8896 10112 10981 14218 17792 21962 28436 43924 56872 87848 113744 175696 227488 351392 454976 561611 702784 909952 988151 1123222 1405568 1976302 2246444 3952604 4492888 7905208 8985776 15810416 17971552 31620832 35943104 63241664 71886208 78063929 126483328 156127858 312255716 624511432 1249022864 2498045728 4996091456 9992182912