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46321351681 = 11172931614517
BaseRepresentation
bin101011001000111101…
…111011110000000001
311102120012210110210211
4223020331323300001
51224331231223211
633140231154121
73226612664353
oct531075736001
9142505713724
1046321351681
1118710217130
128b88b15941
1344a28b3847
142355d4b0d3
151311949e21
hexac8f7bc01

46321351681 has 64 divisors (see below), whose sum is σ = 58084853760. Its totient is φ = 36417024000.

The previous prime is 46321351667. The next prime is 46321351709. The reversal of 46321351681 is 18615312364.

46321351681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 46321351681 - 25 = 46321351649 is a prime.

It is a super-2 number, since 2×463213516812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46321351781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10252635 + ... + 10257151.

It is an arithmetic number, because the mean of its divisors is an integer number (907575840).

Almost surely, 246321351681 is an apocalyptic number.

It is an amenable number.

46321351681 is a deficient number, since it is larger than the sum of its proper divisors (11763502079).

46321351681 is a wasteful number, since it uses less digits than its factorization.

46321351681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666.

The product of its digits is 103680, while the sum is 40.

The spelling of 46321351681 in words is "forty-six billion, three hundred twenty-one million, three hundred fifty-one thousand, six hundred eighty-one".

Divisors: 1 11 17 29 31 61 187 319 341 493 527 671 899 1037 1769 1891 4517 5423 5797 9889 11407 15283 19459 20801 30073 32147 49687 54839 76789 130993 140027 168113 275537 330803 353617 603229 844679 932263 1440923 1540297 2226881 2380459 3030907 4060783 4684129 7990573 8541647 10254893 24495691 26185049 44668613 51525419 69033311 87896303 93958117 135839741 145207999 247707763 759366421 1494237151 1597287989 2724785393 4211031971 46321351681