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6134146641 = 327612137191
BaseRepresentation
bin1011011011001111…
…11010011001010001
3120211111110221021100
411231213322121101
5100030320143031
62452404015013
7305003246310
oct55547723121
916744427240
106134146641
112668625187
121232391469
13769b06a8c
1442296c277
1525d7d4de6
hex16d9fa651

6134146641 has 72 divisors (see below), whose sum is σ = 10424374272. Its totient is φ = 3404678400.

The previous prime is 6134146631. The next prime is 6134146651. The reversal of 6134146641 is 1466414316.

6134146641 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 1 + 4 + 6 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (6134146631) and next prime (6134146651).

It is not a de Polignac number, because 6134146641 - 211 = 6134144593 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6134146596 and 6134146605.

It is not an unprimeable number, because it can be changed into a prime (6134146631) 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 71 ways as a sum of consecutive naturals, for example, 32115856 + ... + 32116046.

It is an arithmetic number, because the mean of its divisors is an integer number (144782976).

Almost surely, 26134146641 is an apocalyptic number.

6134146641 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6134146641 is a deficient number, since it is larger than the sum of its proper divisors (4290227631).

6134146641 is a wasteful number, since it uses less digits than its factorization.

6134146641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 399 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6134146641 is about 78320.7931586498. The cubic root of 6134146641 is about 1830.5631600100.

The spelling of 6134146641 in words is "six billion, one hundred thirty-four million, one hundred forty-six thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 61 63 137 183 191 411 427 549 573 959 1233 1281 1337 1719 2877 3721 3843 4011 8357 8631 11163 11651 12033 25071 26047 26167 33489 34953 58499 75213 78141 78501 81557 104859 175497 183169 234423 235503 244671 509777 526491 549507 710711 734013 1529331 1596187 1648521 2132133 3568439 4587993 4788561 4974977 6396399 10705317 11173309 14365683 14924931 32115951 33519927 44774793 97367407 100559781 292102221 681571849 876306663 2044715547 6134146641