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6930765945 = 3351931101863
BaseRepresentation
bin1100111010001101…
…10001100001111001
3122220000110101112000
412131012301201321
5103143234002240
63103422211213
7333515352465
oct63506614171
918800411460
106930765945
112a37267044
121415123b09
13865b74c4c
1449a6974a5
152a86e0430
hex19d1b1879

6930765945 has 128 divisors (see below), whose sum is σ = 13536460800. Its totient is φ = 3351456000.

The previous prime is 6930765943. The next prime is 6930765949. The reversal of 6930765945 is 5495670396.

It is not a de Polignac number, because 6930765945 - 21 = 6930765943 is a prime.

It is a super-3 number, since 3×69307659453 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6930765891 and 6930765900.

It is not an unprimeable number, because it can be changed into a prime (6930765943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8030584 + ... + 8031446.

It is an arithmetic number, because the mean of its divisors is an integer number (105753600).

Almost surely, 26930765945 is an apocalyptic number.

It is an amenable number.

6930765945 is a deficient number, since it is larger than the sum of its proper divisors (6605694855).

6930765945 is a wasteful number, since it uses less digits than its factorization.

6930765945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 6930765945 is about 83251.2218829249. The cubic root of 6930765945 is about 1906.6036097287.

The spelling of 6930765945 in words is "six billion, nine hundred thirty million, seven hundred sixty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 19 27 31 45 57 93 95 101 135 155 171 279 285 303 465 505 513 589 837 855 863 909 1395 1515 1767 1919 2565 2589 2727 2945 3131 4185 4315 4545 5301 5757 7767 8835 9393 9595 12945 13635 15655 15903 16397 17271 23301 26505 26753 28179 28785 38835 46965 49191 51813 59489 79515 80259 81985 84537 86355 87163 116505 133765 140895 147573 178467 240777 245955 259065 261489 297445 401295 422685 435815 442719 508307 535401 722331 737865 784467 892335 1203885 1307445 1524921 1606203 1656097 2213595 2353401 2541535 2677005 2702053 3611655 3922335 4574763 4968291 7624605 8031015 8106159 8280485 11767005 13510265 13724289 14904873 22873815 24318477 24841455 40530795 44714619 51339007 68621445 72955431 74524365 121592385 154017021 223573095 256695035 364777155 462051063 770085105 1386153189 2310255315 6930765945