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6870517038 = 2347114312809
BaseRepresentation
bin1100110011000001…
…11100010100101110
3122201211002102120000
412121200330110232
5103032323021123
63053431005130
7332154300630
oct63140742456
918654072500
106870517038
112a06256160
1213b8b097a6
1385653b8c8
14492692a50
152a328db43
hex19983c52e

6870517038 has 160 divisors (see below), whose sum is σ = 19641726720. Its totient is φ = 1742912640.

The previous prime is 6870517033. The next prime is 6870517039. The reversal of 6870517038 is 8307150786.

6870517038 is a `hidden beast` number, since 68 + 70 + 517 + 0 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6870516984 and 6870517002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6870517033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 529978 + ... + 542786.

It is an arithmetic number, because the mean of its divisors is an integer number (122760792).

Almost surely, 26870517038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6870517038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820863360).

6870517038 is an abundant number, since it is smaller than the sum of its proper divisors (12771209682).

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

6870517038 is a wasteful number, since it uses less digits than its factorization.

6870517038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12884 (or 12875 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 6870517038 is about 82888.5820725629. The cubic root of 6870517038 is about 1901.0628437552.

The spelling of 6870517038 in words is "six billion, eight hundred seventy million, five hundred seventeen thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 43 54 63 66 77 81 86 99 126 129 154 162 189 198 231 258 297 301 378 387 462 473 567 594 602 693 774 891 903 946 1134 1161 1386 1419 1782 1806 2079 2322 2709 2838 3311 3483 4158 4257 5418 6237 6622 6966 8127 8514 9933 12474 12771 12809 16254 19866 24381 25542 25618 29799 38313 38427 48762 59598 76626 76854 89397 89663 115281 140899 178794 179326 230562 268191 268989 281798 345843 422697 536382 537978 550787 691686 806967 845394 986293 1037529 1101574 1268091 1613934 1652361 1972586 2075058 2420901 2536182 2958879 3304722 3804273 3855509 4841802 4957083 5917758 6058657 7262703 7608546 7711018 8876637 9914166 11412819 11566527 12117314 14525406 14871249 17753274 18175971 22825638 23133054 26629911 29742498 34699581 36351942 42410599 44613747 53259822 54527913 69399162 79889733 84821198 89227494 104098743 109055826 127231797 159779466 163583739 208197486 254463594 312296229 327167478 381695391 490751217 624592458 763390782 981502434 1145086173 2290172346 3435258519 6870517038