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11648169260 = 22572131948121
BaseRepresentation
bin10101101100100100…
…01111010100101100
31010001210002022022022
422312102033110230
5142323412404020
65203500405312
7561436543100
oct126622172454
933053068268
1011648169260
114a380a6a72
122310b46838
1311382ba260
147c6dd5900
15482924625
hex2b648f52c

11648169260 has 144 divisors (see below), whose sum is σ = 32257139040. Its totient is φ = 3492357120.

The previous prime is 11648169257. The next prime is 11648169301. The reversal of 11648169260 is 6296184611.

11648169260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218000 + ... + 266120.

It is an arithmetic number, because the mean of its divisors is an integer number (224007910).

Almost surely, 211648169260 is an apocalyptic number.

11648169260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11648169260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128569520).

11648169260 is an abundant number, since it is smaller than the sum of its proper divisors (20608969780).

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

11648169260 is a wasteful number, since it uses less digits than its factorization.

11648169260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48176 (or 48167 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 11648169260 in words is "eleven billion, six hundred forty-eight million, one hundred sixty-nine thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 49 52 65 70 76 91 95 98 130 133 140 182 190 196 245 247 260 266 364 380 455 490 494 532 637 665 910 931 980 988 1235 1274 1330 1729 1820 1862 2470 2548 2660 3185 3458 3724 4655 4940 6370 6916 8645 9310 12103 12740 17290 18620 24206 34580 48121 48412 60515 96242 121030 192484 240605 242060 336847 481210 625573 673694 914299 962420 1251146 1347388 1684235 1828598 2357929 2502292 3127865 3368470 3657196 4379011 4571495 4715858 6255730 6400093 6736940 8758022 9142990 9431716 11789645 11885887 12511460 12800186 17516044 18285980 21895055 23579290 23771774 25600372 30653077 32000465 43790110 44800651 47158580 47543548 59429435 61306154 64000930 83201209 87580220 89601302 118858870 122612308 128001860 153265385 166402418 179202604 224003255 237717740 306530770 332804836 416006045 448006510 582408463 613061540 832012090 896013020 1164816926 1664024180 2329633852 2912042315 5824084630 11648169260