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6402442046 = 27111317199901
BaseRepresentation
bin1011111011001110…
…11000001100111110
3121112012022202101012
411331213120030332
5101103011121141
62535150315222
7314441600540
oct57547301476
917465282335
106402442046
112796014520
1212a81b8b12
137b0583a60
1444a44b690
1527712eceb
hex17d9d833e

6402442046 has 128 divisors (see below), whose sum is σ = 14372951040. Its totient is φ = 2052864000.

The previous prime is 6402442021. The next prime is 6402442051.

6402442046 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64024420462 = 81982528304777332232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 641696 + ... + 651596.

It is an arithmetic number, because the mean of its divisors is an integer number (112288680).

Almost surely, 26402442046 is an apocalyptic number.

6402442046 is an abundant number, since it is smaller than the sum of its proper divisors (7970508994).

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

6402442046 is a wasteful number, since it uses less digits than its factorization.

6402442046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970.

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 6402442046 is about 80015.2613318234. The cubic root of 6402442046 is about 1856.8716486963.

The spelling of 6402442046 in words is "six billion, four hundred two million, four hundred forty-two thousand, forty-six".

Divisors: 1 2 7 11 13 14 17 19 22 26 34 38 77 91 119 133 143 154 182 187 209 221 238 247 266 286 323 374 418 442 494 646 1001 1309 1463 1547 1729 2002 2261 2431 2618 2717 2926 3094 3458 3553 4199 4522 4862 5434 7106 8398 9901 17017 19019 19802 24871 29393 34034 38038 46189 49742 58786 69307 92378 108911 128713 138614 168317 188119 217822 257426 323323 336634 376238 646646 762377 900991 1178219 1316833 1415843 1524754 1801982 1851487 2069309 2188121 2356438 2445547 2633666 2831686 3198023 3702974 4138618 4376242 4891094 6396046 9910901 12960409 14485163 15316847 17118829 19821802 22386161 24069331 25920818 26901017 28970326 30633694 34237658 35178253 41574299 44772322 48138662 53802034 70356506 83148598 168485317 188307119 246247771 291020093 336970634 376614238 457317289 492495542 582040186 914634578 3201221023 6402442046