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9916638016 = 261715535869
BaseRepresentation
bin10010011110001001…
…11110001101000000
3221121002220101222111
421033010332031000
5130302124404031
64320003545104
7500513014045
oct111704761500
927532811874
109916638016
114229757a0a
121b0908b194
13c20650a5c
146a10631cc
153d08e31b1
hex24f13e340

9916638016 has 56 divisors (see below), whose sum is σ = 20852846280. Its totient is φ = 4662853632.

The previous prime is 9916637993. The next prime is 9916638077. The reversal of 9916638016 is 6108366199.

It can be written as a sum of positive squares in 4 ways, for example, as 55353600 + 9861284416 = 7440^2 + 99304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1686730 + ... + 1692598.

It is an arithmetic number, because the mean of its divisors is an integer number (372372255).

Almost surely, 29916638016 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 9916638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426423140).

9916638016 is an abundant number, since it is smaller than the sum of its proper divisors (10936208264).

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

9916638016 is a wasteful number, since it uses less digits than its factorization.

9916638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 9916638016 is about 99582.3177878483. The cubic root of 9916638016 is about 2148.4313790642.

The spelling of 9916638016 in words is "nine billion, nine hundred sixteen million, six hundred thirty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1553 3106 5869 6212 11738 12424 23476 24848 26401 46952 49696 52802 93904 99392 99773 105604 187808 199546 211208 375616 399092 422416 798184 844832 1596368 1689664 3192736 6385472 9114557 18229114 36458228 72916456 145832912 154947469 291665824 309894938 583331648 619789876 1239579752 2479159504 4958319008 9916638016