Search a number
-
+
6146131761 = 3271119607769
BaseRepresentation
bin1011011100101011…
…01000011100110001
3120212100000211202200
411232111220130301
5100041402204021
62453512533413
7305210154330
oct55625503461
916770024680
106146131761
112674370840
1212363b1269
1376c442073
144243abd17
1525e8a1126
hex16e568731

6146131761 has 96 divisors (see below), whose sum is σ = 11685273600. Its totient is φ = 3015843840.

The previous prime is 6146131759. The next prime is 6146131769. The reversal of 6146131761 is 1671316416.

6146131761 is a `hidden beast` number, since 614 + 6 + 1 + 31 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 6146131761 - 21 = 6146131759 is a prime.

It is a super-2 number, since 2×61461317612 = 75549871247145922242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6146131769) 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 95 ways as a sum of consecutive naturals, for example, 7991985 + ... + 7992753.

It is an arithmetic number, because the mean of its divisors is an integer number (121721600).

Almost surely, 26146131761 is an apocalyptic number.

It is an amenable number.

6146131761 is a deficient number, since it is larger than the sum of its proper divisors (5539141839).

6146131761 is a wasteful number, since it uses less digits than its factorization.

6146131761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1416 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 6146131761 is about 78397.2688363568. The cubic root of 6146131761 is about 1831.7545914711.

The spelling of 6146131761 in words is "six billion, one hundred forty-six million, one hundred thirty-one thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 607 627 693 769 1197 1463 1821 1881 2307 4249 4389 5383 5463 6677 6921 8459 11533 12747 13167 14611 16149 20031 25377 34599 38241 43833 46739 48447 59213 60093 76131 80731 102277 103797 126863 131499 140217 160721 177639 242193 306831 380589 420651 466783 482163 532917 726579 888041 920493 1125047 1141767 1400349 1446489 2664123 3267481 3375141 4201047 5134613 7992369 8868877 9802443 10125423 15403839 26606631 29407329 35942291 46211517 62082139 79819893 97557647 107826873 186246417 292672941 323480619 558739251 682903529 878018823 2048710587 6146131761