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4137346686 = 2311732393593
BaseRepresentation
bin1111011010011010…
…1110011001111110
3101200100010222200110
43312212232121332
531433130043221
61522313410450
7204345603144
oct36646563176
911610128613
104137346686
111833473890
12975709a26
1350c210145
142b36a7594
15193355776
hexf69ae67e

4137346686 has 64 divisors (see below), whose sum is σ = 9191439360. Its totient is φ = 1231050240.

The previous prime is 4137346673. The next prime is 4137346687. The reversal of 4137346686 is 6866437314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137346687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149706 + ... + 1153298.

It is an arithmetic number, because the mean of its divisors is an integer number (143616240).

Almost surely, 24137346686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4137346686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595719680).

4137346686 is an abundant number, since it is smaller than the sum of its proper divisors (5054092674).

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

4137346686 is a wasteful number, since it uses less digits than its factorization.

4137346686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921.

The product of its digits is 1741824, while the sum is 48.

The square root of 4137346686 is about 64322.2098967378. The cubic root of 4137346686 is about 1605.3656689563.

The spelling of 4137346686 in words is "four billion, one hundred thirty-seven million, three hundred forty-six thousand, six hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 239 438 478 717 803 1434 1606 2409 2629 3593 4818 5258 7186 7887 10779 15774 17447 21558 34894 39523 52341 79046 104682 118569 191917 237138 262289 383834 524578 575751 786867 858727 1151502 1573734 1717454 2576181 2885179 5152362 5770358 8655537 9445997 17311074 18891994 28337991 56675982 62687071 125374142 188061213 376122426 689557781 1379115562 2068673343 4137346686