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3406743401067 = 35171974186181
BaseRepresentation
bin110001100100110001101…
…110101111001001101011
3110001200101210201220200000
4301210301232233021223
5421304002302313232
611125011502114043
7501062164056366
oct61446156571153
913050353656600
103406743401067
1110a3878922106
124702bb57b923
131b9340260c96
14bac5c8dd0dd
155d93d16c27c
hex31931baf26b

3406743401067 has 48 divisors (see below), whose sum is σ = 5430717163872. Its totient is φ = 2126713397760.

The previous prime is 3406743401063. The next prime is 3406743401069. The reversal of 3406743401067 is 7601043476043.

It is not a de Polignac number, because 3406743401067 - 22 = 3406743401063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3406743401063) 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 47 ways as a sum of consecutive naturals, for example, 1279284 + ... + 2906897.

It is an arithmetic number, because the mean of its divisors is an integer number (113139940914).

Almost surely, 23406743401067 is an apocalyptic number.

3406743401067 is a deficient number, since it is larger than the sum of its proper divisors (2023973762805).

3406743401067 is a wasteful number, since it uses less digits than its factorization.

3406743401067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186410 (or 4186398 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3406743401067 in words is "three trillion, four hundred six billion, seven hundred forty-three million, four hundred one thousand, sixty-seven".

Divisors: 1 3 9 17 27 51 81 153 197 243 459 591 1377 1773 3349 4131 5319 10047 15957 30141 47871 90423 271269 813807 4186181 12558543 37675629 71165077 113026887 213495231 339080661 640485693 824677657 1017241983 1921457079 2474032971 5764371237 7422098913 14019520169 17293113711 22266296739 42058560507 66798890217 126175681521 200396670651 378527044563 1135581133689 3406743401067