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6141980719 = 713115144357
BaseRepresentation
bin1011011100001011…
…10011000000101111
3120212001012221121101
411232011303000233
5100034321340334
62453243543531
7305126655220
oct55605630057
916761187541
106141980719
112671a96026
121234b2aba7
1376b61a824
14423a0b247
1525e331214
hex16e17302f

6141980719 has 16 divisors (see below), whose sum is σ = 7119991296. Its totient is φ = 5189652000.

The previous prime is 6141980707. The next prime is 6141980753. The reversal of 6141980719 is 9170891416.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6141980719 is a prime.

It is a super-2 number, since 2×61419807192 = 75447854305135513922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141980759) 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, 116289 + ... + 160645.

It is an arithmetic number, because the mean of its divisors is an integer number (444999456).

Almost surely, 26141980719 is an apocalyptic number.

6141980719 is a deficient number, since it is larger than the sum of its proper divisors (978010577).

6141980719 is a wasteful number, since it uses less digits than its factorization.

6141980719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44646.

The product of its (nonzero) digits is 108864, while the sum is 46.

The square root of 6141980719 is about 78370.7899602907. The cubic root of 6141980719 is about 1831.3421150820.

The spelling of 6141980719 in words is "six billion, one hundred forty-one million, nine hundred eighty thousand, seven hundred nineteen".

Divisors: 1 7 131 151 917 1057 19781 44357 138467 310499 5810767 6697907 40675369 46885349 877425817 6141980719