Search a number
-
+
12997151784 = 233482324371
BaseRepresentation
bin11000001101011000…
…01100110000101000
31020112210102201110000
430012230030300220
5203104232324114
65545410023000
7640036652541
oct140654146050
936483381400
1012997151784
11556a60a561
122628877a60
1312c1915476
148b42274c8
1551108ce09
hex306b0cc28

12997151784 has 80 divisors (see below), whose sum is σ = 36449788320. Its totient is φ = 4326942240.

The previous prime is 12997151747. The next prime is 12997151807. The reversal of 12997151784 is 48715179921.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12997151784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 521119 + ... + 545489.

It is an arithmetic number, because the mean of its divisors is an integer number (455622354).

Almost surely, 212997151784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12997151784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18224894160).

12997151784 is an abundant number, since it is smaller than the sum of its proper divisors (23452636536).

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

12997151784 is a wasteful number, since it uses less digits than its factorization.

12997151784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25212 (or 25199 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 54.

The spelling of 12997151784 in words is "twelve billion, nine hundred ninety-seven million, one hundred fifty-one thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 823 1646 2469 3292 4938 6584 7407 9876 14814 19752 22221 24371 29628 44442 48742 59256 66663 73113 88884 97484 133326 146226 177768 194968 219339 266652 292452 438678 533304 584904 658017 877356 1316034 1754712 1974051 2632068 3948102 5264136 7896204 15792408 20057333 40114666 60171999 80229332 120343998 160458664 180515997 240687996 361031994 481375992 541547991 722063988 1083095982 1444127976 1624643973 2166191964 3249287946 4332383928 6498575892 12997151784