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12706748472 = 23311316125453
BaseRepresentation
bin10111101010110000…
…11001100000111000
31012210112222200222210
423311120121200320
5202010411422342
65500513415120
7626612402625
oct136530314070
935715880883
1012706748472
1154306a0220
12256756a4a0
1312766c77a2
1488783134c
154e582779c
hex2f5619838

12706748472 has 128 divisors (see below), whose sum is σ = 36360529920. Its totient is φ = 3665088000.

The previous prime is 12706748471. The next prime is 12706748477. The reversal of 12706748472 is 27484760721.

It is a super-2 number, since 2×127067484722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12706748471) 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, 486498 + ... + 511950.

It is an arithmetic number, because the mean of its divisors is an integer number (284066640).

Almost surely, 212706748472 is an apocalyptic number.

12706748472 is a gapful number since it is divisible by the number (12) 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 12706748472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180264960).

12706748472 is an abundant number, since it is smaller than the sum of its proper divisors (23653781448).

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

12706748472 is a wasteful number, since it uses less digits than its factorization.

12706748472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25565 (or 25561 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 12706748472 in words is "twelve billion, seven hundred six million, seven hundred forty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 61 62 66 88 93 122 124 132 183 186 244 248 264 341 366 372 488 671 682 732 744 1023 1342 1364 1464 1891 2013 2046 2684 2728 3782 4026 4092 5368 5673 7564 8052 8184 11346 15128 16104 20801 22692 25453 41602 45384 50906 62403 76359 83204 101812 124806 152718 166408 203624 249612 279983 305436 499224 559966 610872 789043 839949 1119932 1552633 1578086 1679898 2239864 2367129 3105266 3156172 3359796 4657899 4734258 6210532 6312344 6719592 8679473 9315798 9468516 12421064 17078963 17358946 18631596 18937032 26038419 34157926 34717892 37263192 48131623 51236889 52076838 68315852 69435784 96263246 102473778 104153676 136631704 144394869 192526492 204947556 208307352 288789738 385052984 409895112 529447853 577579476 1058895706 1155158952 1588343559 2117791412 3176687118 4235582824 6353374236 12706748472