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6398228936 = 231117291391061
BaseRepresentation
bin1011111010101110…
…10011100111001000
3121111220101201002002
411331113103213020
5101100421311221
62534520130132
7314361022451
oct57527234710
917456351062
106398228936
1127936a7110
1212a6906948
137ac73a1a8
14449a72128
15276a9b80b
hex17d5d39c8

6398228936 has 128 divisors (see below), whose sum is σ = 14451696000. Its totient is φ = 2621337600.

The previous prime is 6398228923. The next prime is 6398228999.

6398228936 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×63982289363 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6029846 + ... + 6030906.

It is an arithmetic number, because the mean of its divisors is an integer number (112903875).

Almost surely, 26398228936 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 6398228936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225848000).

6398228936 is an abundant number, since it is smaller than the sum of its proper divisors (8053467064).

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

6398228936 is a wasteful number, since it uses less digits than its factorization.

6398228936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1259 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 56.

The square root of 6398228936 is about 79988.9300841060. The cubic root of 6398228936 is about 1856.4642561682.

The spelling of 6398228936 in words is "six billion, three hundred ninety-eight million, two hundred twenty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 139 187 232 278 319 374 493 556 638 748 986 1061 1112 1276 1496 1529 1972 2122 2363 2552 3058 3944 4031 4244 4726 5423 6116 8062 8488 9452 10846 11671 12232 16124 18037 18904 21692 23342 25993 30769 32248 36074 43384 44341 46684 51986 61538 68527 72148 88682 93368 103972 123076 137054 144296 147479 177364 198407 207944 246152 274108 294958 338459 354728 396814 523073 548216 589916 676918 753797 793628 1046146 1179832 1353836 1507594 1587256 1622269 2092292 2507143 2707672 3015188 3244538 4184584 4276891 5014286 5753803 6030376 6489076 8553782 10028572 11507606 12978152 17107564 20057144 23015212 27578573 34215128 46030424 47045801 55157146 72707147 94091602 110314292 145414294 188183204 220628584 290828588 376366408 581657176 799778617 1599557234 3199114468 6398228936