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8634000648 = 23371310633719
BaseRepresentation
bin10000000101010000…
…00110010100001000
3211021201101200021210
420002220012110020
5120140301010043
63544424333120
7423646536360
oct100250062410
924251350253
108634000648
113730739529
12180b6141a0
13a779b4930
145bc9819a0
15357ed2633
hex202a06508

8634000648 has 128 divisors (see below), whose sum is σ = 26598297600. Its totient is φ = 2274345216.

The previous prime is 8634000629. The next prime is 8634000649. The reversal of 8634000648 is 8460004368.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (8634000649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2319733 + ... + 2323451.

It is an arithmetic number, because the mean of its divisors is an integer number (207799200).

Almost surely, 28634000648 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 8634000648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299148800).

8634000648 is an abundant number, since it is smaller than the sum of its proper divisors (17964296952).

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

8634000648 is a wasteful number, since it uses less digits than its factorization.

8634000648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 8634000648 is about 92919.3233294346. The cubic root of 8634000648 is about 2051.4960840220.

The spelling of 8634000648 in words is "eight billion, six hundred thirty-four million, six hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1063 1092 2126 2184 3189 3719 4252 6378 7438 7441 8504 11157 12756 13819 14876 14882 22314 22323 25512 26033 27638 29752 29764 41457 44628 44646 48347 52066 55276 59528 78099 82914 89256 89292 96694 96733 104132 110552 145041 156198 165828 178584 193388 193466 208264 290082 290199 312396 331656 338429 386776 386932 580164 580398 624792 676858 773864 1015287 1160328 1160796 1353716 2030574 2321592 2707432 3953297 4061148 7906594 8122296 11859891 15813188 23719782 27673079 31626376 47439564 51392861 55346158 83019237 94879128 102785722 110692316 154178583 166038474 205571444 221384632 308357166 332076948 359750027 411142888 616714332 664153896 719500054 1079250081 1233428664 1439000108 2158500162 2878000216 4317000324 8634000648