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116583649938 = 23272114972
BaseRepresentation
bin110110010010011101…
…1010101001010010010
3102010220220201001020200
41230210323111022102
53402230403244223
6125320252120030
711265023450100
oct1544473251222
9363826631220
10116583649938
1145496481818
121a717766016
13acbc488562
1458dd720c70
1530750bda43
hex1b24ed5292

116583649938 has 54 divisors (see below), whose sum is σ = 293863943061. Its totient is φ = 33306717024.

The previous prime is 116583649933. The next prime is 116583649951. The reversal of 116583649938 is 839946385611.

116583649938 is a `hidden beast` number, since 1 + 1 + 6 + 583 + 6 + 49 + 9 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115407640089 + 1176009849 = 339717^2 + 34293^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=241437.

It is a super-2 number, since 2×1165836499382 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (116583649933) 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, 10134606 + ... + 10146102.

Almost surely, 2116583649938 is an apocalyptic number.

116583649938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

116583649938 is an abundant number, since it is smaller than the sum of its proper divisors (177280293123).

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

116583649938 is an frugal number, since it uses more digits than its factorization.

116583649938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23016 (or 11509 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 116583649938 in words is "one hundred sixteen billion, five hundred eighty-three million, six hundred forty-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 11497 22994 34491 68982 80479 103473 160958 206946 241437 482874 563353 724311 1126706 1448622 1690059 3380118 5070177 10140354 132181009 264362018 396543027 793086054 925267063 1189629081 1850534126 2379258162 2775801189 5551602378 6476869441 8327403567 12953738882 16654807134 19430608323 38861216646 58291824969 116583649938