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11871835248 = 2437213388273
BaseRepresentation
bin10110000111001110…
…11101010001110000
31010122100221201100210
423003213131101300
5143303142211443
65242010344120
7600123635400
oct130347352160
933570851323
1011871835248
115042383599
122373a2b040
13117273c4b0
148089b8800
154973a5c33
hex2c39dd470

11871835248 has 120 divisors (see below), whose sum is σ = 38420488848. Its totient is φ = 3131025408.

The previous prime is 11871835219. The next prime is 11871835249. The reversal of 11871835248 is 84253817811.

11871835248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11871835197 and 11871835206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11871835249) 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 23 ways as a sum of consecutive naturals, for example, 163561 + ... + 224712.

Almost surely, 211871835248 is an apocalyptic number.

It is an amenable number.

11871835248 is an abundant number, since it is smaller than the sum of its proper divisors (26548653600).

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

11871835248 is a wasteful number, since it uses less digits than its factorization.

11871835248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388311 (or 388298 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

The spelling of 11871835248 in words is "eleven billion, eight hundred seventy-one million, eight hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 388273 776546 1164819 1553092 2329638 2717911 3106184 4659276 5047549 5435822 6212368 8153733 9318552 10095098 10871644 15142647 16307466 18637104 19025377 20190196 21743288 30285294 32614932 35332843 38050754 40380392 43486576 57076131 60570588 65229864 70665686 76101508 80760784 105998529 114152262 121141176 130459728 141331372 152203016 211997058 228304524 242282352 247329901 282662744 304406032 423994116 456609048 494659802 565325488 741989703 847988232 913218096 989319604 1483979406 1695976464 1978639208 2967958812 3957278416 5935917624 11871835248