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6438145010 = 25112101139379
BaseRepresentation
bin1011111111011111…
…00100101111110010
3121121200111122122012
411333233210233302
5101141131120020
62542503442522
7315354221033
oct57757445762
917550448565
106438145010
11280418a700
1212b8156442
137b7aa477b
144510a2a8a
1527a3337c5
hex17fbe4bf2

6438145010 has 96 divisors (see below), whose sum is σ = 12990801600. Its totient is φ = 2295216000.

The previous prime is 6438145009. The next prime is 6438145019. The reversal of 6438145010 is 105418346.

It is a super-2 number, since 2×64381450102 = 82899422339575800200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6438145019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16987001 + ... + 16987379.

It is an arithmetic number, because the mean of its divisors is an integer number (135320850).

Almost surely, 26438145010 is an apocalyptic number.

6438145010 is an abundant number, since it is smaller than the sum of its proper divisors (6552656590).

6438145010 is a wasteful number, since it uses less digits than its factorization.

6438145010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 6438145010 is about 80238.0521323892. The cubic root of 6438145010 is about 1860.3168429679.

The spelling of 6438145010 in words is "six billion, four hundred thirty-eight million, one hundred forty-five thousand, ten".

Divisors: 1 2 5 10 11 22 55 101 110 121 139 202 242 278 379 505 605 695 758 1010 1111 1210 1390 1529 1895 2222 3058 3790 4169 5555 7645 8338 11110 12221 14039 15290 16819 20845 24442 28078 33638 38279 41690 45859 52681 61105 70195 76558 84095 91718 105362 122210 140390 154429 168190 191395 229295 263405 308858 382790 421069 458590 526810 579491 772145 842138 1158982 1544290 1698719 2105345 2897455 3397438 4210690 4631759 5320781 5794910 6374401 8493595 9263518 10641562 12748802 16987190 23158795 26603905 31872005 46317590 53207810 58528591 63744010 117057182 292642955 585285910 643814501 1287629002 3219072505 6438145010