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2832758425112 = 23711172137126583
BaseRepresentation
bin101001001110001101100…
…011110100011000011000
3101000210211210202000012212
4221032031203310120120
5332402442124100422
610005203512054252
7411442252216460
oct51161543643030
911023753660185
102832758425112
119a2403310190
12399011094388
13177188207735
149b16b740ba0
154da4716e9e2
hex2938d8f4618

2832758425112 has 128 divisors (see below), whose sum is σ = 7014900464640. Its totient is φ = 1038255943680.

The previous prime is 2832758425111. The next prime is 2832758425153. The reversal of 2832758425112 is 2115248572382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832758425111) by changing a digit.

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, 22315373 + ... + 22441955.

It is an arithmetic number, because the mean of its divisors is an integer number (54803909880).

Almost surely, 22832758425112 is an apocalyptic number.

2832758425112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832758425112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507450232320).

2832758425112 is an abundant number, since it is smaller than the sum of its proper divisors (4182142039528).

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

2832758425112 is a wasteful number, since it uses less digits than its factorization.

2832758425112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128761 (or 128757 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 50.

The spelling of 2832758425112 in words is "two trillion, eight hundred thirty-two billion, seven hundred fifty-eight million, four hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2137 2618 4274 5236 8548 10472 14959 17096 23507 29918 36329 47014 59836 72658 94028 119672 126583 145316 164549 188056 253166 254303 290632 329098 399619 506332 508606 658196 799238 886081 1012664 1017212 1316392 1392413 1598476 1772162 2034424 2151911 2784826 2797333 3196952 3544324 4303822 5569652 5594666 7088648 8607644 9746891 11139304 11189332 15063377 17215288 19493782 22378664 23671021 30126754 38987564 47342042 60253508 77975128 94684084 120507016 165697147 189368168 270507871 331394294 541015742 662788588 1082031484 1325577176 1893555097 2164062968 2975586581 3787110194 4598633807 5951173162 7574220388 9197267614 11902346324 15148440776 18394535228 20829106067 23804692648 32190436649 36789070456 41658212134 50584971877 64380873298 83316424268 101169943754 128761746596 166632848536 202339887508 257523493192 354094803139 404679775016 708189606278 1416379212556 2832758425112