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345182361645 = 3511101113183301
BaseRepresentation
bin1010000010111100111…
…10001101100000101101
31012222222100111210221210
411001132132031200231
521123413141033040
6422324035545033
733636640443252
oct5013636154055
91188870453853
10345182361645
11123433498350
1256a94a5b179
132672075c844
14129c7ac1429
158ea4120480
hex505e78d82d

345182361645 has 64 divisors (see below), whose sum is σ = 613853468928. Its totient is φ = 164236800000.

The previous prime is 345182361607. The next prime is 345182361647. The reversal of 345182361645 is 546163281543.

It is not a de Polignac number, because 345182361645 - 211 = 345182359597 is a prime.

It is a super-3 number, since 3×3451823616453 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345182361594 and 345182361603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345182361647) 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 63 ways as a sum of consecutive naturals, for example, 1791495 + ... + 1974795.

It is an arithmetic number, because the mean of its divisors is an integer number (9591460452).

Almost surely, 2345182361645 is an apocalyptic number.

It is an amenable number.

345182361645 is a deficient number, since it is larger than the sum of its proper divisors (268671107283).

345182361645 is a wasteful number, since it uses less digits than its factorization.

345182361645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183534.

The product of its digits is 2073600, while the sum is 48.

The spelling of 345182361645 in words is "three hundred forty-five billion, one hundred eighty-two million, three hundred sixty-one thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 101 113 165 303 339 505 565 1111 1243 1515 1695 3333 3729 5555 6215 11413 16665 18645 34239 57065 125543 171195 183301 376629 549903 627715 916505 1883145 2016311 2749515 6048933 10081555 18513401 20713013 30244665 55540203 62139039 92567005 103565065 203647411 227843143 277701015 310695195 610942233 683529429 1018237055 1139215715 2092014313 3054711165 3417647145 6276042939 10460071565 23012157443 31380214695 69036472329 115060787215 345182361645