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2713367952 = 243273359719
BaseRepresentation
bin1010000110111010…
…1011010110010000
321000002200101002100
42201232223112100
521024110233302
61125124520400
7124145150511
oct24156532620
97002611070
102713367952
111172697559
12638850100
133431b7289
141ba512a08
1510d325d1c
hexa1bab590

2713367952 has 120 divisors (see below), whose sum is σ = 7729862400. Its totient is φ = 888344064.

The previous prime is 2713367947. The next prime is 2713367959. The reversal of 2713367952 is 2597633172.

It is a junction number, because it is equal to n+sod(n) for n = 2713367898 and 2713367907.

It is not an unprimeable number, because it can be changed into a prime (2713367959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3773449 + ... + 3774167.

It is an arithmetic number, because the mean of its divisors is an integer number (64415520).

Almost surely, 22713367952 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 2713367952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864931200).

2713367952 is an abundant number, since it is smaller than the sum of its proper divisors (5016494448).

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

2713367952 is a wasteful number, since it uses less digits than its factorization.

2713367952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1156 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 2713367952 is about 52089.9985793818. The cubic root of 2713367952 is about 1394.7709617422.

The spelling of 2713367952 in words is "two billion, seven hundred thirteen million, three hundred sixty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 359 438 584 657 718 719 876 1077 1168 1314 1436 1438 1752 2154 2157 2628 2872 2876 3231 3504 4308 4314 5256 5744 5752 6462 6471 8616 8628 10512 11504 12924 12942 17232 17256 25848 25884 26207 34512 51696 51768 52414 52487 78621 103536 104828 104974 157242 157461 209656 209948 235863 258121 314484 314922 419312 419896 471726 472383 516242 628968 629844 774363 839792 943452 944766 1032484 1257936 1259688 1548726 1886904 1889532 2064968 2323089 2519376 3097452 3773808 3779064 4129936 4646178 6194904 7558128 9292356 12389808 18584712 18842833 37169424 37685666 56528499 75371332 113056998 150742664 169585497 226113996 301485328 339170994 452227992 678341988 904455984 1356683976 2713367952