Search a number
-
+
132957000946 = 271137137181941
BaseRepresentation
bin111101111010011011…
…0101101010011110010
3110201012000001110100101
41323310312231103302
54134243443012241
6141025105543014
712414540601240
oct1736466552362
9421160043311
10132957000946
1151428840770
1221927044a6a
13c6cb6b2433
1466140bb790
1536d2761e31
hex1ef4dad4f2

132957000946 has 128 divisors (see below), whose sum is σ = 258927072768. Its totient is φ = 49704192000.

The previous prime is 132957000881. The next prime is 132957000973. The reversal of 132957000946 is 649000759231.

It is a happy number.

132957000946 is a nontrivial binomial coefficient, being equal to C(515669, 2).

It is a junction number, because it is equal to n+sod(n) for n = 132957000896 and 132957000905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141292836 + ... + 141293776.

It is an arithmetic number, because the mean of its divisors is an integer number (2022867756).

Almost surely, 2132957000946 is an apocalyptic number.

132957000946 is the 515668-th triangular number.

132957000946 is the 171890-th centered nonagonal number.

132957000946 is a deficient number, since it is larger than the sum of its proper divisors (125970071822).

132957000946 is a wasteful number, since it uses less digits than its factorization.

132957000946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316.

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 132957000946 in words is "one hundred thirty-two billion, nine hundred fifty-seven million, nine hundred forty-six", and thus it is an aban number.

Divisors: 1 2 7 11 14 22 37 74 77 137 154 181 259 274 362 407 518 814 941 959 1267 1507 1882 1918 1991 2534 2849 3014 3982 5069 5698 6587 6697 10138 10351 10549 13174 13394 13937 20702 21098 24797 27874 34817 35483 46879 49594 55759 69634 70966 72457 73667 93758 111518 128917 144914 147334 170321 173579 243719 257834 272767 340642 347158 382987 390313 487438 515669 545534 765974 780626 902419 917489 1031338 1192247 1418087 1804838 1834978 1873531 1909369 2384494 2680909 2836174 3747062 3818738 4769929 5361818 6301877 6422423 9539858 9926609 10092379 12603754 12844846 13114717 19853218 20184758 23333977 26229434 33389503 44113139 46667954 52469219 66779006 69320647 70646653 88226278 104938438 138641294 141293306 163337839 256673747 326675678 367284533 485244529 513347494 734569066 863357149 970489058 1726714298 1796716229 3593432458 6043500043 9496928639 12087000086 18993857278 66478500473 132957000946