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9689112048 = 2437112990397
BaseRepresentation
bin10010000011000010…
…00001110111110000
3221000020202220000210
421001201001313300
5124320403041143
64241235144120
7462051044040
oct110141016760
927006686023
109689112048
114122284320
121a64a45040
13bb54798c5
1467cb57720
153ba94d033
hex241841df0

9689112048 has 160 divisors (see below), whose sum is σ = 32282933760. Its totient is φ = 2429844480.

The previous prime is 9689112007. The next prime is 9689112061. The reversal of 9689112048 is 8402119869.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9689111988 and 9689112006.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 61986 + ... + 152382.

It is an arithmetic number, because the mean of its divisors is an integer number (201768336).

Almost surely, 29689112048 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 9689112048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16141466880).

9689112048 is an abundant number, since it is smaller than the sum of its proper divisors (22593821712).

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

9689112048 is a wasteful number, since it uses less digits than its factorization.

9689112048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90455 (or 90449 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 9689112048 is about 98433.2872965238. The cubic root of 9689112048 is about 2131.8729841129.

The spelling of 9689112048 in words is "nine billion, six hundred eighty-nine million, one hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 56 58 66 77 84 87 88 112 116 132 154 168 174 176 203 231 232 264 308 319 336 348 406 462 464 528 609 616 638 696 812 924 957 1218 1232 1276 1392 1624 1848 1914 2233 2436 2552 3248 3696 3828 4466 4872 5104 6699 7656 8932 9744 13398 15312 17864 26796 35728 53592 90397 107184 180794 271191 361588 542382 632779 723176 994367 1084764 1265558 1446352 1898337 1988734 2169528 2531116 2621513 2983101 3796674 3977468 4339056 5062232 5243026 5966202 6960569 7593348 7864539 7954936 10124464 10486052 11932404 13921138 15186696 15729078 15909872 18350591 20881707 20972104 23864808 27842276 28836643 30373392 31458156 36701182 41763414 41944208 47729616 55051773 55684552 57673286 62916312 73402364 83526828 86509929 110103546 111369104 115346572 125832624 146804728 167053656 173019858 201856501 220207092 230693144 293609456 334107312 346039716 403713002 440414184 461386288 605569503 692079432 807426004 880828368 1211139006 1384158864 1614852008 2422278012 3229704016 4844556024 9689112048