Search a number
-
+
70846107842169 = 3211241262212
BaseRepresentation
bin10000000110111100100101…
…000101110111011001111001
3100021211211012001210120121100
4100012330211011313121321
533241220312101422134
6410402130323002013
720631314411440632
oct2006744505673171
9307754161716540
1070846107842169
1120634735a17100
127b4254a209309
13306b9b425c80a
14136cd8163a889
1582cd0ab0a999
hex406f25177679

70846107842169 has 81 divisors (see below), whose sum is σ = 115310934050221. Its totient is φ = 41883056688000.

The previous prime is 70846107842123. The next prime is 70846107842177. The reversal of 70846107842169 is 96124870164807.

The square root of 70846107842169 is 8417013.

It is a perfect power (a square), and thus also a powerful number.

70846107842169 is a `hidden beast` number, since 7 + 0 + 8 + 4 + 610 + 7 + 8 + 4 + 2 + 1 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59126303345769 + 11719804496400 = 7689363^2 + 3423420^2 .

It is not a de Polignac number, because 70846107842169 - 211 = 70846107840121 is a prime.

It is a super-2 number, since 2×708461078421692 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (70846107842369) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11388215479 + ... + 11388221699.

Almost surely, 270846107842169 is an apocalyptic number.

70846107842169 is the 8417013-rd square number.

70846107842169 is the 4208507-th centered octagonal number.

It is an amenable number.

70846107842169 is a deficient number, since it is larger than the sum of its proper divisors (44464826208052).

70846107842169 is an frugal number, since it uses more digits than its factorization.

70846107842169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12552 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 70846107842169 in words is "seventy trillion, eight hundred forty-six billion, one hundred seven million, eight hundred forty-two thousand, one hundred sixty-nine".

Divisors: 1 3 9 11 33 41 99 121 123 363 369 451 1089 1353 1681 4059 4961 5043 6221 14883 15129 18491 18663 44649 55473 55989 68431 166419 203401 205293 255061 610203 615879 752741 765183 1830609 2258223 2295549 2805671 6774669 8417013 10457501 25251039 30862381 31372503 38700841 92587143 94117509 115032511 116102523 277761429 345097533 348307569 425709251 1035292599 1265357621 1277127753 1586734481 3796072863 3831383259 4682801761 4760203443 11388218589 14048405283 14280610329 17454079291 42145215849 52362237873 65056113721 157086713619 191994872201 195168341163 575984616603 585505023489 715617250931 1727953849809 2146851752793 6440555258379 7871789760241 23615369280723 70846107842169