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116066950596 = 223107012
BaseRepresentation
bin110110000011000100…
…0010001110111000100
3102002120220110000000000
41230012020101313010
53400201114404341
6125153113321300
711246150542032
oct1540610216704
9362526400000
10116066950596
1145250849973
121a5b2706230
13ac394074bc
145890c5d552
153044a578b6
hex1b06211dc4

116066950596 has 99 divisors (see below), whose sum is σ = 305109273133. Its totient is φ = 38633792400.

The previous prime is 116066950523. The next prime is 116066950621. The reversal of 116066950596 is 695059660611.

The square root of 116066950596 is 340686.

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

116066950596 is a `hidden beast` number, since 11 + 60 + 6 + 69 + 505 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100100100996 + 15966849600 = 316386^2 + 126360^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 165573046 + ... + 165573746.

Almost surely, 2116066950596 is an apocalyptic number.

116066950596 is the 340686-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116066950596

116066950596 is an abundant number, since it is smaller than the sum of its proper divisors (189042322537).

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

116066950596 is an frugal number, since it uses more digits than its factorization.

116066950596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 116066950596 in words is "one hundred sixteen billion, sixty-six million, nine hundred fifty thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 701 729 972 1402 1458 2103 2187 2804 2916 4206 4374 6309 6561 8412 8748 12618 13122 18927 19683 25236 26244 37854 39366 56781 59049 75708 78732 113562 118098 170343 227124 236196 340686 491401 511029 681372 982802 1022058 1474203 1533087 1965604 2044116 2948406 3066174 4422609 4599261 5896812 6132348 8845218 9198522 13267827 13797783 17690436 18397044 26535654 27595566 39803481 41393349 53071308 55191132 79606962 82786698 119410443 159213924 165573396 238820886 358231329 477641772 716462658 1074693987 1432925316 2149387974 3224081961 4298775948 6448163922 9672245883 12896327844 19344491766 29016737649 38688983532 58033475298 116066950596