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4681901919123 = 32111396716072341
BaseRepresentation
bin100010000100001011100…
…0110011100101110010011
3121120120210210110022222100
41010020113012130232103
51103202013342402443
613542500330411443
7662153615454342
oct104102706345623
917516723408870
104681901919123
111545646638230
12637473590b83
1327c669913c80
14122868ba5b59
1581bc12833d3
hex4421719cb93

4681901919123 has 96 divisors (see below), whose sum is σ = 7961610488832. Its totient is φ = 2613791980800.

The previous prime is 4681901919113. The next prime is 4681901919209. The reversal of 4681901919123 is 3219191091864.

It is a happy number.

4681901919123 is a `hidden beast` number, since 468 + 1 + 9 + 0 + 1 + 91 + 91 + 2 + 3 = 666.

It is not a de Polignac number, because 4681901919123 - 212 = 4681901915027 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4681901919123.

It is not an unprimeable number, because it can be changed into a prime (4681901919113) 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, 1999956933 + ... + 1999959273.

It is an arithmetic number, because the mean of its divisors is an integer number (82933442592).

Almost surely, 24681901919123 is an apocalyptic number.

4681901919123 is a deficient number, since it is larger than the sum of its proper divisors (3279708569709).

4681901919123 is a wasteful number, since it uses less digits than its factorization.

4681901919123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 4681901919123 in words is "four trillion, six hundred eighty-one billion, nine hundred one million, nine hundred nineteen thousand, one hundred twenty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 967 1287 1607 2341 2901 4821 7023 8703 10637 12571 14463 17677 20891 21069 25751 30433 31911 37713 53031 62673 77253 91299 95733 113139 138281 159093 188019 229801 231759 273897 334763 414843 689403 1004289 1244529 1553969 2068209 2263747 3012867 3761987 4661907 6791241 11285961 13985721 17093659 20201597 20373723 24901217 29428711 33857883 41381857 48905831 51280977 60604791 74703651 88286133 124145571 146717493 153842931 181814373 222217567 224110953 264858399 323715821 372436713 440152479 537964141 666652701 971147463 1613892423 1999958103 2913442389 3637841429 4841677269 10913524287 32740572861 40016255719 47291938577 120048767157 141875815731 360146301471 425627447193 520211324347 1560633973041 4681901919123