Search a number
-
+
2813284085560 = 2351317331272611
BaseRepresentation
bin101000111100000100110…
…011000110111100111000
3100221221120121100001112121
4220330010303012330320
5332043101211214220
65552223241251024
7410152542112354
oct50740463067470
910857517301477
102813284085560
1199511a584693
12395297193a74
131753a36ca8b0
149a2411b0464
154d2a7639eaa
hex28f04cc6f38

2813284085560 has 64 divisors (see below), whose sum is σ = 6856207454880. Its totient is φ = 1032746672640.

The previous prime is 2813284085519. The next prime is 2813284085587. The reversal of 2813284085560 is 655804823182.

It is a super-3 number, since 3×28132840855603 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 2813284085498 and 2813284085507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15546346 + ... + 15726265.

Almost surely, 22813284085560 is an apocalyptic number.

2813284085560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813284085560 is an abundant number, since it is smaller than the sum of its proper divisors (4042923369320).

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

2813284085560 is a wasteful number, since it uses less digits than its factorization.

2813284085560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31272808 (or 31272804 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 2813284085560 in words is "two trillion, eight hundred thirteen billion, two hundred eighty-four million, eighty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 173 260 346 520 692 865 1384 1730 2249 3460 4498 6920 8996 11245 17992 22490 44980 89960 31272611 62545222 125090444 156363055 250180888 312726110 406543943 625452220 813087886 1250904440 1626175772 2032719715 3252351544 4065439430 5410161703 8130878860 10820323406 16261757720 21640646812 27050808515 43281293624 54101617030 70332102139 108203234060 140664204278 216406468120 281328408556 351660510695 562656817112 703321021390 1406642042780 2813284085560