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86790338404 = 227211219132
BaseRepresentation
bin101000011010100011…
…0110111011101100100
322022000120100000010221
41100311012313131210
52410221311312104
6103512042054124
76161513463400
oct1206506673544
9268016300127
1086790338404
1133897979900
12149a1aaa344
138251b7cc33
1442b491a100
1523ce6c0c54
hex14351b7764

86790338404 has 81 divisors (see below), whose sum is σ = 194303918361. Its totient is φ = 33796741440.

The previous prime is 86790338351. The next prime is 86790338501. The reversal of 86790338404 is 40483309768.

The square root of 86790338404 is 294602.

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

It can be written as a sum of positive squares in only one way, i.e., 75564512100 + 11225826304 = 274890^2 + 105952^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45367752 + ... + 45369664.

Almost surely, 286790338404 is an apocalyptic number.

86790338404 is the 294602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86790338404

86790338404 is an abundant number, since it is smaller than the sum of its proper divisors (107513579957).

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

86790338404 is a wasteful number, since it uses less digits than its factorization.

86790338404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 86790338404 in words is "eighty-six billion, seven hundred ninety million, three hundred thirty-eight thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 1913 2156 3388 3826 5929 7652 11858 13391 21043 23716 26782 42086 53564 84172 93737 147301 187474 231473 294602 374948 462946 589204 925892 1031107 1620311 2062214 3240622 3659569 4124428 6481244 7319138 11342177 14638276 22684354 25616983 40255259 45368708 51233966 80510518 102467932 161021036 179318881 281786813 358637762 442807849 563573626 717275524 885615698 1127147252 1771231396 1972507691 3099654943 3945015382 6199309886 7890030764 12398619772 21697584601 43395169202 86790338404