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2061426312 = 23321110923879
BaseRepresentation
bin111101011011110…
…1101111010001000
312022122221022021200
41322313231322020
513210211120222
6540315304200
7102040556151
oct17267557210
95278838250
102061426312
11968692110
1249644b060
1326b1035aa
14157ac8928
15c0e97eac
hex7adede88

2061426312 has 96 divisors (see below), whose sum is σ = 6146712000. Its totient is φ = 618917760.

The previous prime is 2061426247. The next prime is 2061426317. The reversal of 2061426312 is 2136241602.

2061426312 is a `hidden beast` number, since 20 + 6 + 1 + 4 + 2 + 631 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2061426317) 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 23 ways as a sum of consecutive naturals, for example, 74389 + ... + 98267.

It is an arithmetic number, because the mean of its divisors is an integer number (64028250).

Almost surely, 22061426312 is an apocalyptic number.

2061426312 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 2061426312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073356000).

2061426312 is an abundant number, since it is smaller than the sum of its proper divisors (4085285688).

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

2061426312 is a wasteful number, since it uses less digits than its factorization.

2061426312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24011 (or 24004 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2061426312 is about 45402.9328568100. The cubic root of 2061426312 is about 1272.6899217969.

Adding to 2061426312 its reverse (2136241602), we get a palindrome (4197667914).

The spelling of 2061426312 in words is "two billion, sixty-one million, four hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 109 132 198 218 264 327 396 436 654 792 872 981 1199 1308 1962 2398 2616 3597 3924 4796 7194 7848 9592 10791 14388 21582 23879 28776 43164 47758 71637 86328 95516 143274 191032 214911 262669 286548 429822 525338 573096 788007 859644 1050676 1576014 1719288 2101352 2364021 2602811 3152028 4728042 5205622 6304056 7808433 9456084 10411244 15616866 18912168 20822488 23425299 28630921 31233732 46850598 57261842 62467464 85892763 93701196 114523684 171785526 187402392 229047368 257678289 343571052 515356578 687142104 1030713156 2061426312