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4086641749 = 29374192893
BaseRepresentation
bin1111001110010101…
…0011010001010101
3101112210201220120211
43303211103101111
531332140013444
61513302525421
7203161611301
oct36345232125
911483656524
104086641749
111807891483
12960736871
13501868c18
142aaa68d01
1518db8bc34
hexf3953455

4086641749 has 16 divisors (see below), whose sum is σ = 4447764720. Its totient is φ = 3745405440.

The previous prime is 4086641731. The next prime is 4086641759. The reversal of 4086641749 is 9471466804.

It can be written as a sum of positive squares in 8 ways, for example, as 689850225 + 3396791524 = 26265^2 + 58282^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4086641749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086641759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2454 + ... + 90439.

It is an arithmetic number, because the mean of its divisors is an integer number (277985295).

Almost surely, 24086641749 is an apocalyptic number.

It is an amenable number.

4086641749 is a deficient number, since it is larger than the sum of its proper divisors (361122971).

4086641749 is a wasteful number, since it uses less digits than its factorization.

4086641749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93000.

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 4086641749 is about 63926.8468563873. The cubic root of 4086641749 is about 1598.7805485569.

The spelling of 4086641749 in words is "four billion, eighty-six million, six hundred forty-one thousand, seven hundred forty-nine".

Divisors: 1 29 37 41 1073 1189 1517 43993 92893 2693897 3437041 3808613 99674189 110449777 140918681 4086641749