Search a number
-
+
2556293565012 = 2231129276616283
BaseRepresentation
bin100101001100101110111…
…110000100101001010100
3100001101020111022221222220
4211030232332010221110
5313340242123040022
65234202310422340
7352454223534255
oct45145676045124
910041214287886
102556293565012
118a6133090930
123535156619b0
131570992a4715
148ba221ccb2c
1546765c7a85c
hex2532ef84a54

2556293565012 has 48 divisors (see below), whose sum is σ = 6509153129472. Its totient is φ = 774369645280.

The previous prime is 2556293564959. The next prime is 2556293565071. The reversal of 2556293565012 is 2105653926552.

It is a super-3 number, since 3×25562935650123 (a number of 38 digits) contains 333 as substring.

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, 2921778 + ... + 3694505.

It is an arithmetic number, because the mean of its divisors is an integer number (135607356864).

Almost surely, 22556293565012 is an apocalyptic number.

2556293565012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2556293565012 is an abundant number, since it is smaller than the sum of its proper divisors (3952859564460).

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

2556293565012 is a wasteful number, since it uses less digits than its factorization.

2556293565012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619228 (or 6619226 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 2556293565012 in words is "two trillion, five hundred fifty-six billion, two hundred ninety-three million, five hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2927 5854 8781 11708 17562 32197 35124 64394 96591 128788 193182 386364 6616283 13232566 19848849 26465132 39697698 72779113 79395396 145558226 218337339 291116452 436674678 873349356 19365860341 38731720682 58097581023 77463441364 116195162046 213024463751 232390324092 426048927502 639073391253 852097855004 1278146782506 2556293565012