Search a number
-
+
2769828272652 = 2237712411927073
BaseRepresentation
bin101000010011100110101…
…000010101101000001100
3100210210102002120000221110
4220103212220111220030
5330340102014211102
65520235212332020
7404053632566310
oct50234650255014
910723362500843
102769828272652
1197874a93a221
12388989a74010
131712696b032c
14980bba67b40
154c0b257386c
hex284e6a15a0c

2769828272652 has 96 divisors (see below), whose sum is σ = 7521323572224. Its totient is φ = 776995430400.

The previous prime is 2769828272647. The next prime is 2769828272677. The reversal of 2769828272652 is 2562728289672.

It is a super-2 number, since 2×27698282726522 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 473788 + ... + 2400860.

It is an arithmetic number, because the mean of its divisors is an integer number (78347120544).

Almost surely, 22769828272652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2769828272652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760661786112).

2769828272652 is an abundant number, since it is smaller than the sum of its proper divisors (4751495299572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2769828272652 is a wasteful number, since it uses less digits than its factorization.

2769828272652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927399 (or 1927397 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 66.

The spelling of 2769828272652 in words is "two trillion, seven hundred sixty-nine billion, eight hundred twenty-eight million, two hundred seventy-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 241 284 426 482 497 723 852 964 994 1446 1491 1687 1988 2892 2982 3374 5061 5964 6748 10122 17111 20244 34222 51333 68444 102666 119777 205332 239554 359331 479108 718662 1437324 1927073 3854146 5781219 7708292 11562438 13489511 23124876 26979022 40468533 53958044 80937066 136822183 161874132 273644366 410466549 464424593 547288732 820933098 928849186 957755281 1393273779 1641866196 1857698372 1915510562 2786547558 2873265843 3250972151 3831021124 5573095116 5746531686 6501944302 9752916453 11493063372 13003888604 19505832906 32974146103 39011665812 65948292206 98922438309 131896584412 197844876618 230819022721 395689753236 461638045442 692457068163 923276090884 1384914136326 2769828272652