Search a number
-
+
2670686536 = 2371741531291
BaseRepresentation
bin1001111100101111…
…0111000101001000
320220010100221012011
42133023313011020
520432143432121
61121002025304
7123116314060
oct23713670510
96803327164
102670686536
111150595361
126264a8234
133373c20bb
141b49a23a0
151096e47e1
hex9f2f7148

2670686536 has 128 divisors (see below), whose sum is σ = 6329352960. Its totient is φ = 1030348800.

The previous prime is 2670686497. The next prime is 2670686537. The reversal of 2670686536 is 6356860762.

It is a self number, because there is not a number n which added to its sum of digits gives 2670686536.

It is not an unprimeable number, because it can be changed into a prime (2670686537) by changing a digit.

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, 2068051 + ... + 2069341.

It is an arithmetic number, because the mean of its divisors is an integer number (49448070).

Almost surely, 22670686536 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 2670686536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164676480).

2670686536 is an abundant number, since it is smaller than the sum of its proper divisors (3658666424).

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

2670686536 is a wasteful number, since it uses less digits than its factorization.

2670686536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The square root of 2670686536 is about 51678.6855095986. The cubic root of 2670686536 is about 1387.4190042918.

The spelling of 2670686536 in words is "two billion, six hundred seventy million, six hundred eighty-six thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 17 28 34 41 53 56 68 82 106 119 136 164 212 238 287 328 371 424 476 574 697 742 901 952 1148 1291 1394 1484 1802 2173 2296 2582 2788 2968 3604 4346 4879 5164 5576 6307 7208 8692 9037 9758 10328 12614 15211 17384 18074 19516 21947 25228 30422 36148 36941 39032 43894 50456 52931 60844 68423 72296 73882 87788 105862 121688 136846 147764 153629 175576 211724 258587 273692 295528 307258 370517 423448 478961 517174 547384 614516 741034 899827 957922 1034348 1163191 1229032 1482068 1799654 1915844 2068696 2326382 2805343 2964136 3599308 3831688 4652764 5610686 6298789 7198616 8142337 9305528 11221372 12597578 16284674 19637401 22442744 25195156 32569348 39274802 47690831 50390312 65138696 78549604 95381662 157099208 190763324 333835817 381526648 667671634 1335343268 2670686536