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11649438060 = 22351385317509
BaseRepresentation
bin10101101100101110…
…00101000101101100
31010001212110202202220
422312113011011230
5142324224004220
65203543515340
7561453406161
oct126627050554
933055422686
1011649438060
114a38893267
122311458b50
131138642920
147c7246068
15482ac5540
hex2b65c516c

11649438060 has 96 divisors (see below), whose sum is σ = 35170726080. Its totient is φ = 2864028672.

The previous prime is 11649438043. The next prime is 11649438067. The reversal of 11649438060 is 6083494611.

11649438060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116494380602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11649438067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 656586 + ... + 674094.

It is an arithmetic number, because the mean of its divisors is an integer number (366361730).

Almost surely, 211649438060 is an apocalyptic number.

11649438060 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 11649438060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17585363040).

11649438060 is an abundant number, since it is smaller than the sum of its proper divisors (23521288020).

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

11649438060 is a wasteful number, since it uses less digits than its factorization.

11649438060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18387 (or 18385 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 11649438060 in words is "eleven billion, six hundred forty-nine million, four hundred thirty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 853 1706 2559 3412 4265 5118 8530 10236 11089 12795 17060 17509 22178 25590 33267 35018 44356 51180 52527 55445 66534 70036 87545 105054 110890 133068 166335 175090 210108 221780 227617 262635 332670 350180 455234 525270 665340 682851 910468 1050540 1138085 1365702 2276170 2731404 3414255 4552340 6828510 13657020 14935177 29870354 44805531 59740708 74675885 89611062 149351770 179222124 194157301 224027655 298703540 388314602 448055310 582471903 776629204 896110620 970786505 1164943806 1941573010 2329887612 2912359515 3883146020 5824719030 11649438060