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2117256527112 = 2331017477116819
BaseRepresentation
bin11110110011110110010…
…100101011110100001000
321111102000020200121011120
4132303312110223310020
5234142120132331422
64300353151155240
7305652406353156
oct36636624536410
97442006617146
102117256527112
11746a18127141
122a2408b15b20
1312486c2537ac
14746936c83d6
153a11c1b245c
hex1ecf652bd08

2117256527112 has 64 divisors (see below), whose sum is σ = 5346309355200. Its totient is φ = 698665094400.

The previous prime is 2117256527063. The next prime is 2117256527129.

2117256527112 is nontrivially palindromic in base 10.

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, 18065839 + ... + 18182657.

It is an arithmetic number, because the mean of its divisors is an integer number (83536083675).

Almost surely, 22117256527112 is an apocalyptic number.

It is an amenable number.

2117256527112 is an abundant number, since it is smaller than the sum of its proper divisors (3229052828088).

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

2117256527112 is a wasteful number, since it uses less digits than its factorization.

2117256527112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124406 (or 124402 counting only the distinct ones).

The product of its digits is 117600, while the sum is 42.

The spelling of 2117256527112 in words is "two trillion, one hundred seventeen billion, two hundred fifty-six million, five hundred twenty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 7477 14954 22431 29908 44862 59816 89724 116819 179448 233638 350457 467276 700914 755177 934552 1401828 1510354 2265531 2803656 3020708 4531062 6041416 9062124 11798719 18124248 23597438 35396157 47194876 70792314 94389752 141584628 283169256 873455663 1746911326 2620366989 3493822652 5240733978 6987645304 10481467956 20962935912 88219021963 176438043926 264657065889 352876087852 529314131778 705752175704 1058628263556 2117256527112