Search a number
-
+
1738013672868 = 22311171381560837
BaseRepresentation
bin11001010010101001101…
…100000000010110100100
320011011010011100111010220
4121102221230000112210
5211433423000012433
63410233224444340
7236365412316114
oct31225154002644
96134104314126
101738013672868
116100a6454660
12240a093196b0
13c7b8111a225
14601981bd044
1530322c442b3
hex194a9b005a4

1738013672868 has 96 divisors (see below), whose sum is σ = 4687672445568. Its totient is φ = 495330355200.

The previous prime is 1738013672861. The next prime is 1738013672881. The reversal of 1738013672868 is 8682763108371.

It is a happy number.

It is a super-2 number, since 2×17380136728682 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1738013672861) 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, 2818546 + ... + 3379382.

It is an arithmetic number, because the mean of its divisors is an integer number (48829921308).

Almost surely, 21738013672868 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 1738013672868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343836222784).

1738013672868 is an abundant number, since it is smaller than the sum of its proper divisors (2949658772700).

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

1738013672868 is a wasteful number, since it uses less digits than its factorization.

1738013672868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562253 (or 562251 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 1738013672868 in words is "one trillion, seven hundred thirty-eight billion, thirteen million, six hundred seventy-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1381 2244 2762 4143 5524 8286 15191 16572 23477 30382 45573 46954 60764 70431 91146 93908 140862 182292 258247 281724 516494 560837 774741 1032988 1121674 1549482 1682511 2243348 3098964 3365022 6169207 6730044 9534229 12338414 18507621 19068458 24676828 28602687 37015242 38136916 57205374 74030484 104876519 114410748 209753038 314629557 419506076 629259114 774515897 1258518228 1549031794 2323547691 3098063588 4647095382 8519674867 9294190764 13166770249 17039349734 25559024601 26333540498 34078699468 39500310747 51118049202 52667080996 79000621494 102236098404 144834472739 158001242988 289668945478 434503418217 579337890956 869006836434 1738013672868