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4281131634 = 2313237193319
BaseRepresentation
bin1111111100101100…
…1110001001110010
3102001100201000112220
43333023032021302
532231432203014
61544451301510
7211043006223
oct37713161162
912040630486
104281131634
1118a765061a
129b58aa896
13532c441b0
142c881524a
151a0ca86a9
hexff2ce272

4281131634 has 64 divisors (see below), whose sum is σ = 9638092800. Its totient is φ = 1257867072.

The previous prime is 4281131609. The next prime is 4281131639. The reversal of 4281131634 is 4361311824.

It is a junction number, because it is equal to n+sod(n) for n = 4281131595 and 4281131604.

It is not an unprimeable number, because it can be changed into a prime (4281131639) 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, 1288227 + ... + 1291545.

It is an arithmetic number, because the mean of its divisors is an integer number (150595200).

Almost surely, 24281131634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4281131634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819046400).

4281131634 is an abundant number, since it is smaller than the sum of its proper divisors (5356961166).

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

4281131634 is a wasteful number, since it uses less digits than its factorization.

4281131634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079.

The product of its digits is 13824, while the sum is 33.

The square root of 4281131634 is about 65430.3571287824. The cubic root of 4281131634 is about 1623.7513575126.

The spelling of 4281131634 in words is "four billion, two hundred eighty-one million, one hundred thirty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 719 897 1438 1794 2157 3319 4314 6638 9347 9957 16537 18694 19914 28041 33074 43147 49611 56082 76337 86294 99222 129441 152674 214981 229011 258882 429962 458022 644943 992381 1289886 1984762 2386361 2977143 4772722 5954286 7159083 14318166 31022693 54886303 62045386 93068079 109772606 164658909 186136158 329317818 713521939 1427043878 2140565817 4281131634