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116877418292196 = 2232672268932
BaseRepresentation
bin11010100100110010100100…
…111111111110001111100100
3120022211101001020101210200100
4122210302210333332033210
5110304404423040322241
61052324424505544100
733422054244460542
oct3244624477761744
9508741036353610
10116877418292196
1134271486702101
1211137762aa5030
13502a6548a5773
1420c0c7bdd0d92
15d7a3b34909b6
hex6a4ca4ffe3e4

116877418292196 has 81 divisors (see below), whose sum is σ = 299926661857641. Its totient is φ = 38376232687584.

The previous prime is 116877418292161. The next prime is 116877418292197. The reversal of 116877418292196 is 691292814778611.

The square root of 116877418292196 is 10810986.

It is a perfect power (a square), and thus also a powerful number.

116877418292196 is a `hidden beast` number, since 1 + 1 + 6 + 87 + 7 + 418 + 29 + 21 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111312839240100 + 5564579052096 = 10550490^2 + 2358936^2 .

It is not an unprimeable number, because it can be changed into a prime (116877418292197) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4346002926 + ... + 4346029818.

Almost surely, 2116877418292196 is an apocalyptic number.

116877418292196 is the 10810986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116877418292196

116877418292196 is an abundant number, since it is smaller than the sum of its proper divisors (183049243565445).

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

116877418292196 is an frugal number, since it uses more digits than its factorization.

116877418292196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53930 (or 26965 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 72.

The spelling of 116877418292196 in words is "one hundred sixteen trillion, eight hundred seventy-seven billion, four hundred eighteen million, two hundred ninety-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4489 8978 13467 17956 26893 26934 40401 53786 53868 80679 80802 107572 161358 161604 242037 322716 484074 968148 1801831 3603662 5405493 7207324 10810986 16216479 21621972 32432958 64865916 120722677 241445354 362168031 482890708 723233449 724336062 1086504093 1446466898 1448672124 2169700347 2173008186 2892933796 4339400694 4346016372 6509101041 8678801388 13018202082 26036404164 48456641083 96913282166 145369923249 193826564332 290739846498 436109769747 581479692996 872219539494 1744439078988 3246594952561 6493189905122 9739784857683 12986379810244 19479569715366 29219354573049 38959139430732 58438709146098 116877418292196