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345186346117 = 2113676916451
BaseRepresentation
bin1010000010111101011…
…01011010010010000101
31012222222122000020121211
411001132231122102011
521123420201033432
6422324301211421
733640016346634
oct5013655322205
91188878006554
10345186346117
111234357699a8
1256a96260b71
1326721526312
14129c843b51b
158ea465ad47
hex505eb5a485

345186346117 has 16 divisors (see below), whose sum is σ = 348324588544. Its totient is φ = 342065430000.

The previous prime is 345186346103. The next prime is 345186346171. The reversal of 345186346117 is 711643681543.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 345186346117 - 219 = 345185821829 is a prime.

It is a super-3 number, since 3×3451863461173 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345186349117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53505742 + ... + 53512192.

It is an arithmetic number, because the mean of its divisors is an integer number (21770286784).

Almost surely, 2345186346117 is an apocalyptic number.

It is an amenable number.

345186346117 is a deficient number, since it is larger than the sum of its proper divisors (3138242427).

345186346117 is a wasteful number, since it uses less digits than its factorization.

345186346117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7720.

The product of its digits is 1451520, while the sum is 49.

The spelling of 345186346117 in words is "three hundred forty-five billion, one hundred eighty-six million, three hundred forty-six thousand, one hundred seventeen".

Divisors: 1 211 367 691 6451 77437 145801 253597 1361161 2367517 4457641 53508967 499546087 940562251 1635954247 345186346117