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11648439460 = 22571733311453
BaseRepresentation
bin10101101100100110…
…10001010010100100
31010001210121000221201
422312103101102210
5142324000030320
65203510252244
7561442046620
oct126623212244
933053530851
1011648439460
114a38270a79
122311057084
131138383238
147c7066180
1548297970a
hex2b64d14a4

11648439460 has 96 divisors (see below), whose sum is σ = 28222209792. Its totient is φ = 3955944960.

The previous prime is 11648439437. The next prime is 11648439469. The reversal of 11648439460 is 6493484611.

It is a super-2 number, since 2×116484394602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11648439460.

It is not an unprimeable number, because it can be changed into a prime (11648439469) 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, 8016094 + ... + 8017546.

It is an arithmetic number, because the mean of its divisors is an integer number (293981352).

Almost surely, 211648439460 is an apocalyptic number.

11648439460 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 11648439460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14111104896).

11648439460 is an abundant number, since it is smaller than the sum of its proper divisors (16573770332).

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

11648439460 is a wasteful number, since it uses less digits than its factorization.

11648439460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 11648439460 in words is "eleven billion, six hundred forty-eight million, four hundred thirty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 331 346 662 692 865 1211 1324 1453 1655 1730 2317 2422 2906 3310 3460 4634 4844 5812 6055 6620 7265 9268 10171 11585 12110 14530 20342 23170 24220 29060 40684 46340 50855 57263 101710 114526 203420 229052 251369 286315 400841 480943 502738 572630 801682 961886 1005476 1145260 1256845 1603364 1759583 1923772 2004205 2404715 2513690 3366601 3519166 4008410 4809430 5027380 6733202 7038332 8016820 8797915 9618860 13466404 16833005 17595830 33666010 35191660 67332020 83203139 166406278 332812556 416015695 582421973 832031390 1164843946 1664062780 2329687892 2912109865 5824219730 11648439460