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6940581345 = 3251953971579
BaseRepresentation
bin1100111011011000…
…01101110111100001
3122220200221001201100
412131230031313201
5103203242100340
63104412425013
7333664653015
oct63554156741
918820831640
106940581345
112a41860545
121418478169
13867c00789
1449bad0545
152a94cd830
hex19db0dde1

6940581345 has 96 divisors (see below), whose sum is σ = 13043721600. Its totient is φ = 3403026432.

The previous prime is 6940581343. The next prime is 6940581353. The reversal of 6940581345 is 5431850496.

6940581345 is a `hidden beast` number, since 69 + 4 + 0 + 581 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 6940581345 - 21 = 6940581343 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 6940581345.

It is not an unprimeable number, because it can be changed into a prime (6940581341) 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 95 ways as a sum of consecutive naturals, for example, 4394766 + ... + 4396344.

It is an arithmetic number, because the mean of its divisors is an integer number (135872100).

Almost surely, 26940581345 is an apocalyptic number.

It is an amenable number.

6940581345 is a deficient number, since it is larger than the sum of its proper divisors (6103140255).

6940581345 is a wasteful number, since it uses less digits than its factorization.

6940581345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6940581345 is about 83310.1515122857. The cubic root of 6940581345 is about 1907.5032337061.

The spelling of 6940581345 in words is "six billion, nine hundred forty million, five hundred eighty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 45 53 57 95 97 159 171 265 285 291 477 485 795 855 873 1007 1455 1579 1843 2385 3021 4365 4737 5035 5141 5529 7895 9063 9215 14211 15105 15423 16587 23685 25705 27645 30001 45315 46269 71055 77115 82935 83687 90003 97679 150005 153163 231345 251061 270009 293037 418435 450015 459489 488395 753183 765815 879111 1255305 1350045 1378467 1465185 1590053 2297445 2910097 3765915 4395555 4770159 6892335 7950265 8117639 8730291 14310477 14550485 23850795 24352917 26190873 40588195 43651455 71552385 73058751 121764585 130954365 154235141 365293755 462705423 771175705 1388116269 2313527115 6940581345