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12440038688 = 257115048717
BaseRepresentation
bin10111001010111101…
…11110110100100000
31012002222010102221122
423211132332310200
5200434122214223
65414225111412
7620163404240
oct134536766440
935088112848
1012440038688
115304094210
1224b2188568
13123338444c
14860245b20
154cc1e25c8
hex2e57bed20

12440038688 has 48 divisors (see below), whose sum is σ = 30534646464. Its totient is φ = 4846767360.

The previous prime is 12440038661. The next prime is 12440038733. The reversal of 12440038688 is 88683004421.

It is a super-2 number, since 2×124400386882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2521895 + ... + 2526822.

It is an arithmetic number, because the mean of its divisors is an integer number (636138468).

Almost surely, 212440038688 is an apocalyptic number.

It is an amenable number.

12440038688 is an abundant number, since it is smaller than the sum of its proper divisors (18094607776).

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

12440038688 is a wasteful number, since it uses less digits than its factorization.

12440038688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048745 (or 5048737 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 12440038688 in words is "twelve billion, four hundred forty million, thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 5048717 10097434 20194868 35341019 40389736 55535887 70682038 80779472 111071774 141364076 161558944 222143548 282728152 388751209 444287096 565456304 777502418 888574192 1130912608 1555004836 1777148384 3110009672 6220019344 12440038688