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3407664667043 = 713103363561791
BaseRepresentation
bin110001100101101000101…
…001000101100110100011
3110001202210000021002000002
4301211220221011212203
5421312344123321133
611125243132050215
7501124051516130
oct61455051054643
913052700232002
103407664667043
1110a420095994a
1247051800396b
131b9459092090
14bad08dd3587
155d993e99ce8
hex31968a459a3

3407664667043 has 16 divisors (see below), whose sum is σ = 4234767753216. Its totient is φ = 2669997785760.

The previous prime is 3407664667019. The next prime is 3407664667151.

3407664667043 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3407664667043 - 26 = 3407664666979 is a prime.

It is a super-2 number, since 2×34076646670432 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 3407664667043.

It is not an unprimeable number, because it can be changed into a prime (3407664667003) 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 15 ways as a sum of consecutive naturals, for example, 181771523 + ... + 181790268.

It is an arithmetic number, because the mean of its divisors is an integer number (264672984576).

Almost surely, 23407664667043 is an apocalyptic number.

3407664667043 is a deficient number, since it is larger than the sum of its proper divisors (827103086173).

3407664667043 is a wasteful number, since it uses less digits than its factorization.

3407664667043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363561914.

The product of its (nonzero) digits is 36578304, while the sum is 56.

The spelling of 3407664667043 in words is "three trillion, four hundred seven billion, six hundred sixty-four million, six hundred sixty-seven thousand, forty-three".

Divisors: 1 7 13 91 103 721 1339 9373 363561791 2544932537 4726303283 33084122981 37446864473 262128051311 486809238149 3407664667043