Search a number
-
+
10070266050 = 23252137323581
BaseRepresentation
bin10010110000011110…
…00001000011000010
3221222210222112000200
421120033001003002
5131110442003200
64343132430030
7504356564145
oct113017010302
927883875020
1010070266050
1142a8447a29
121b50618316
13c46420110
146b761405c
153de13c800
hex2583c10c2

10070266050 has 144 divisors (see below), whose sum is σ = 29537020968. Its totient is φ = 2444774400.

The previous prime is 10070266033. The next prime is 10070266067. The reversal of 10070266050 is 5066207001.

It is an interprime number because it is at equal distance from previous prime (10070266033) and next prime (10070266067).

It can be written as a sum of positive squares in 12 ways, for example, as 7969329 + 10062296721 = 2823^2 + 100311^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 415260 + ... + 438840.

Almost surely, 210070266050 is an apocalyptic number.

10070266050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10070266050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768510484).

10070266050 is an abundant number, since it is smaller than the sum of its proper divisors (19466754918).

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

10070266050 is a wasteful number, since it uses less digits than its factorization.

10070266050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23685 (or 23677 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10070266050 in words is "ten billion, seventy million, two hundred sixty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 73 75 78 90 117 130 146 150 195 219 225 234 325 365 390 438 450 585 650 657 730 949 975 1095 1170 1314 1825 1898 1950 2190 2847 2925 3285 3650 4745 5475 5694 5850 6570 8541 9490 10950 14235 16425 17082 23581 23725 28470 32850 42705 47162 47450 70743 71175 85410 117905 141486 142350 212229 213525 235810 306553 353715 424458 427050 589525 613106 707430 919659 1061145 1179050 1532765 1721413 1768575 1839318 2122290 2758977 3065530 3442826 3537150 4598295 5164239 5305725 5517954 7663825 8607065 9196590 10328478 10611450 13794885 15327650 15492717 17214130 22378369 22991475 25821195 27589770 30985434 43035325 44756738 45982950 51642390 67135107 68974425 77463585 86070650 111891845 129105975 134270214 137948850 154927170 201405321 223783690 258211950 335675535 387317925 402810642 559459225 671351070 774635850 1007026605 1118918450 1678377675 2014053210 3356755350 5035133025 10070266050