Search a number
-
+
10713879072 = 253413317957
BaseRepresentation
bin10011111101001100…
…01101001000100000
31000122200001110010000
421332212031020200
5133420223112242
64531043340000
7526333320021
oct117646151040
930580043100
1010713879072
1145a8783a16
1220b0081600
131019878c20
14738cb0c48
1542a8c2a4c
hex27e98d220

10713879072 has 120 divisors (see below), whose sum is σ = 33933113676. Its totient is φ = 3296567808.

The previous prime is 10713879061. The next prime is 10713879073. The reversal of 10713879072 is 27097831701.

It can be written as a sum of positive squares in 2 ways, for example, as 10667584656 + 46294416 = 103284^2 + 6804^2 .

It is a super-2 number, since 2×107138790722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10713879073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125283 + ... + 192674.

Almost surely, 210713879072 is an apocalyptic number.

10713879072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10713879072 is an abundant number, since it is smaller than the sum of its proper divisors (23219234604).

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

10713879072 is a wasteful number, since it uses less digits than its factorization.

10713879072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317992 (or 317975 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 10713879072 in words is "ten billion, seven hundred thirteen million, eight hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 317957 635914 953871 1271828 1907742 2543656 2861613 3815484 4133441 5087312 5723226 7630968 8266882 8584839 10174624 11446452 12400323 15261936 16533764 17169678 22892904 24800646 25754517 30523872 33067528 34339356 37200969 45785808 49601292 51509034 66135056 68678712 74401938 91571616 99202584 103018068 111602907 132270112 137357424 148803876 198405168 206036136 223205814 274714848 297607752 334808721 396810336 412072272 446411628 595215504 669617442 824144544 892823256 1190431008 1339234884 1785646512 2678469768 3571293024 5356939536 10713879072