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6126134316216 = 2332943204695747
BaseRepresentation
bin101100100100101101000…
…0011110100110010111000
3210200122121211111201021120
41121021122003310302320
51300332310341104331
621010150211105240
71201412214340335
oct131113203646270
923618554451246
106126134316216
111a520961280a2
1282b351ba2220
133558cc3b0175
14172713b0998c
15a954c758796
hex5925a0f4cb8

6126134316216 has 64 divisors (see below), whose sum is σ = 16211903241600. Its totient is φ = 1925777578368.

The previous prime is 6126134316199. The next prime is 6126134316221.

It is a happy number.

6126134316216 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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, 102317946 + ... + 102377801.

It is an arithmetic number, because the mean of its divisors is an integer number (253310988150).

Almost surely, 26126134316216 is an apocalyptic number.

It is an amenable number.

6126134316216 is an abundant number, since it is smaller than the sum of its proper divisors (10085768925384).

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

6126134316216 is a wasteful number, since it uses less digits than its factorization.

6126134316216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204695828 (or 204695824 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 6126134316216 in words is "six trillion, one hundred twenty-six billion, one hundred thirty-four million, three hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 516 696 1032 1247 2494 3741 4988 7482 9976 14964 29928 204695747 409391494 614087241 818782988 1228174482 1637565976 2456348964 4912697928 5936176663 8801917121 11872353326 17603834242 17808529989 23744706652 26405751363 35207668484 35617059978 47489413304 52811502726 70415336968 71234119956 105623005452 142468239912 211246010904 255255596509 510511193018 765766789527 1021022386036 1531533579054 2042044772072 3063067158108 6126134316216