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345161514645 = 325371571320409
BaseRepresentation
bin1010000010111010011…
…10101011111010010101
31012222220220021200020200
411001131032223322111
521123342321432040
6422322013051113
733636265315653
oct5013516537225
91188826250220
10345161514645
11123422749722
1256a89a86a99
1326719340a3c
14129c5015dd3
158ea23a3630
hex505d3abe95

345161514645 has 48 divisors (see below), whose sum is σ = 618363847920. Its totient is φ = 177969871872.

The previous prime is 345161514623. The next prime is 345161514757. The reversal of 345161514645 is 546415161543.

345161514645 is a `hidden beast` number, since 3 + 4 + 516 + 1 + 51 + 46 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 327139569 + 344834375076 = 18087^2 + 587226^2 .

It is not a de Polignac number, because 345161514645 - 210 = 345161513621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 345161514645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398800 + ... + 921609.

It is an arithmetic number, because the mean of its divisors is an integer number (12882580165).

Almost surely, 2345161514645 is an apocalyptic number.

It is an amenable number.

345161514645 is a deficient number, since it is larger than the sum of its proper divisors (273202333275).

345161514645 is a wasteful number, since it uses less digits than its factorization.

345161514645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320614 (or 1320611 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 345161514645 in words is "three hundred forty-five billion, one hundred sixty-one million, five hundred fourteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 157 185 333 471 555 785 1413 1665 2355 5809 7065 17427 29045 52281 87135 261405 1320409 3961227 6602045 11883681 19806135 48855133 59418405 146565399 207304213 244275665 439696197 621912639 732826995 1036521065 1865737917 2198480985 3109563195 7670255881 9328689585 23010767643 38351279405 69032302929 115053838215 345161514645