Search a number
-
+
46642565260 = 22523433077681
BaseRepresentation
bin101011011100000111…
…010001000010001100
311110101121012211000001
4223130013101002030
51231010444042020
633232144014044
73240563156164
oct533407210214
9143347184001
1046642565260
111886556a6a5
129058601324
1345242cb255
1423868835a4
15132ec4950a
hexadc1d108c

46642565260 has 96 divisors (see below), whose sum is σ = 104939315712. Its totient is φ = 17371791360.

The previous prime is 46642565257. The next prime is 46642565273. The reversal of 46642565260 is 6256524664.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 46642565260.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6068620 + ... + 6076300.

It is an arithmetic number, because the mean of its divisors is an integer number (1093117872).

Almost surely, 246642565260 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 46642565260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52469657856).

46642565260 is an abundant number, since it is smaller than the sum of its proper divisors (58296750452).

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

46642565260 is a wasteful number, since it uses less digits than its factorization.

46642565260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063 (or 8061 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 46642565260 in words is "forty-six billion, six hundred forty-two million, five hundred sixty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 307 430 460 614 860 989 1228 1535 1978 3070 3956 4945 6140 7061 7681 9890 13201 14122 15362 19780 26402 28244 30724 35305 38405 52804 66005 70610 76810 132010 141220 153620 176663 264020 303623 330283 353326 607246 660566 706652 883315 1214492 1321132 1518115 1651415 1766630 2358067 3036230 3302830 3533260 4716134 6072460 6605660 7596509 9432268 11790335 15193018 23580670 30386036 37982545 47161340 54235541 75965090 101396881 108471082 151930180 202793762 216942164 271177705 405587524 506984405 542355410 1013968810 1084710820 2027937620 2332128263 4664256526 9328513052 11660641315 23321282630 46642565260