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34162913928 = 233111310396643
BaseRepresentation
bin11111110100010001…
…001011001010001000
310021011212112211201110
4133310101023022020
51024431201221203
623405541450320
72316405656103
oct376421131210
9107155484643
1034162913928
111354108a970
1267551109a0
1332b5987690
14192128973a
15d4e32ed03
hex7f444b288

34162913928 has 128 divisors (see below), whose sum is σ = 101313838080. Its totient is φ = 9463184640.

The previous prime is 34162913831. The next prime is 34162913947. The reversal of 34162913928 is 82931926143.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305175 + ... + 401817.

It is an arithmetic number, because the mean of its divisors is an integer number (791514360).

Almost surely, 234162913928 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 34162913928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50656919040).

34162913928 is an abundant number, since it is smaller than the sum of its proper divisors (67150924152).

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

34162913928 is a wasteful number, since it uses less digits than its factorization.

34162913928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96779 (or 96775 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The spelling of 34162913928 in words is "thirty-four billion, one hundred sixty-two million, nine hundred thirteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 103 104 132 143 156 206 264 286 309 312 412 429 572 618 824 858 1133 1144 1236 1339 1716 2266 2472 2678 3399 3432 4017 4532 5356 6798 8034 9064 10712 13596 14729 16068 27192 29458 32136 44187 58916 88374 96643 117832 176748 193286 289929 353496 386572 579858 773144 1063073 1159716 1256359 2126146 2319432 2512718 3189219 3769077 4252292 5025436 6378438 7538154 8504584 9954229 10050872 12756876 13819949 15076308 19908458 25513752 27639898 29862687 30152616 39816916 41459847 55279796 59725374 79633832 82919694 109496519 110559592 119450748 129404977 165839388 218993038 238901496 258809954 328489557 331678776 388214931 437986076 517619908 656979114 776429862 875972152 1035239816 1313958228 1423454747 1552859724 2627916456 2846909494 3105719448 4270364241 5693818988 8540728482 11387637976 17081456964 34162913928