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6308466138 = 23513289863
BaseRepresentation
bin1011110000000001…
…11000110111011010
3121021122111021200000
411320000320313122
5100404431404023
62521552153430
7312221035362
oct57000706732
917248437600
106308466138
112747a67a87
121280838876
13796c6c200
1443bb879a2
1526dc6a243
hex178038dda

6308466138 has 144 divisors (see below), whose sum is σ = 15539247360. Its totient is φ = 1917032832.

The previous prime is 6308466133. The next prime is 6308466163. The reversal of 6308466138 is 8316648036.

6308466138 is a `hidden beast` number, since 630 + 8 + 4 + 6 + 6 + 1 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6308466093 and 6308466102.

It is not an unprimeable number, because it can be changed into a prime (6308466133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7309495 + ... + 7310357.

It is an arithmetic number, because the mean of its divisors is an integer number (107911440).

Almost surely, 26308466138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6308466138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769623680).

6308466138 is an abundant number, since it is smaller than the sum of its proper divisors (9230781222).

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

6308466138 is a wasteful number, since it uses less digits than its factorization.

6308466138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6308466138 is about 79425.8530832373. The cubic root of 6308466138 is about 1847.7416941632.

The spelling of 6308466138 in words is "six billion, three hundred eight million, four hundred sixty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 89 117 162 169 178 234 243 267 338 351 486 507 534 702 801 863 1014 1053 1157 1521 1602 1726 2106 2314 2403 2589 3042 3159 3471 4563 4806 5178 6318 6942 7209 7767 9126 10413 11219 13689 14418 15041 15534 20826 21627 22438 23301 27378 30082 31239 33657 41067 43254 45123 46602 62478 67314 69903 76807 82134 90246 93717 100971 135369 139806 145847 153614 187434 201942 209709 230421 270738 281151 291694 302913 406107 419418 437541 460842 562302 605826 691263 812214 875082 908739 998491 1218321 1312623 1382526 1817478 1996982 2073789 2436642 2625246 2726217 2995473 3654963 3937869 4147578 5452434 5990946 6221367 7309926 7875738 8986419 11813607 12442734 12980383 17972838 18664101 23627214 25960766 26959257 35440821 37328202 38941149 53918514 70881642 77882298 80877771 116823447 161755542 233646894 242633313 350470341 485266626 700940682 1051411023 2102822046 3154233069 6308466138