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3463402043643 = 3173710164728087
BaseRepresentation
bin110010011001100010110…
…110010011100011111011
3110021002122102222011201120
4302121202312103203323
5423221021410344033
611211022005320323
7505136221431303
oct62314266234373
913232572864646
103463402043643
111115903187953
1247b2924060a3
131c179c6884a9
14bd8b56cc603
156015739d1b3
hex32662d938fb

3463402043643 has 64 divisors (see below), whose sum is σ = 5079396169728. Its totient is φ = 2090137651200.

The previous prime is 3463402043641. The next prime is 3463402043659.

It is a happy number.

3463402043643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3463402043643 - 21 = 3463402043641 is a prime.

It is a super-2 number, since 2×34634020436432 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3463402043595 and 3463402043604.

It is not an unprimeable number, because it can be changed into a prime (3463402043641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123295746 + ... + 123323832.

It is an arithmetic number, because the mean of its divisors is an integer number (79365565152).

Almost surely, 23463402043643 is an apocalyptic number.

3463402043643 is a deficient number, since it is larger than the sum of its proper divisors (1615994126085).

3463402043643 is a wasteful number, since it uses less digits than its factorization.

3463402043643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28892.

The product of its (nonzero) digits is 1492992, while the sum is 42.

The spelling of 3463402043643 in words is "three trillion, four hundred sixty-three billion, four hundred two million, forty-three thousand, six hundred forty-three".

Divisors: 1 3 17 37 51 101 111 303 629 647 1717 1887 1941 3737 5151 10999 11211 23939 28087 32997 63529 65347 71817 84261 190587 196041 406963 477479 1039219 1110899 1220889 1432437 2417839 2836787 3117657 3332697 7253517 8510361 17666723 18172289 41103263 48225379 53000169 54516867 104961119 123309789 144676137 308928913 314883357 672374693 926786739 1784339023 1835401189 2017124079 5353017069 5506203567 11430369781 31201820213 34291109343 67909843993 93605460639 203729531979 1154467347881 3463402043643