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116345116836 = 223213243732
BaseRepresentation
bin110110001011010110…
…1011001100010100100
3102010022021212022100100
41230112231121202210
53401233322214321
6125240451344100
711256066114234
oct1542655314244
9363267768310
10116345116836
1145383870323
121a66b8b2030
13ac81c2c300
1458b9b8bcc4
15305e1a2326
hex1b16b598a4

116345116836 has 81 divisors (see below), whose sum is σ = 318530307459. Its totient is φ = 35790311232.

The previous prime is 116345116793. The next prime is 116345116841. The reversal of 116345116836 is 638611543611.

The square root of 116345116836 is 341094.

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

116345116836 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 451 + 168 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11213539236 + 105131577600 = 105894^2 + 324240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 116345116791 and 116345116800.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26603146 + ... + 26607518.

Almost surely, 2116345116836 is an apocalyptic number.

116345116836 is the 341094-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116345116836

116345116836 is an abundant number, since it is smaller than the sum of its proper divisors (202185190623).

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

116345116836 is an equidigital number, since it uses as much as digits as its factorization.

116345116836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8782 (or 4391 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 116345116836 in words is "one hundred sixteen billion, three hundred forty-five million, one hundred sixteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 4373 6084 8746 13119 17492 26238 39357 52476 56849 78714 113698 157428 170547 227396 341094 511641 682188 739037 1023282 1478074 2046564 2217111 2956148 4434222 6651333 8868444 13302666 19123129 26605332 38246258 57369387 76492516 114738774 172108161 229477548 248600677 344216322 497201354 688432644 745802031 994402708 1491604062 2237406093 2983208124 3231808801 4474812186 6463617602 8949624372 9695426403 12927235204 19390852806 29086279209 38781705612 58172558418 116345116836