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91480236849 = 3241224592
BaseRepresentation
bin101010100110010100…
…1011010001100110001
322202010102012112100100
41111030221122030301
52444322420034344
6110005254543013
76415652116611
oct1251451321461
9282112175310
1091480236849
1135884232a31
1215890667a69
13881b6b4b81
1445db738a41
1525a62c0569
hex154ca5a331

91480236849 has 27 divisors (see below), whose sum is σ = 135494709259. Its totient is φ = 59475144480.

The previous prime is 91480236847. The next prime is 91480236937. The reversal of 91480236849 is 94863208419.

The square root of 91480236849 is 302457.

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

91480236849 is a `hidden beast` number, since 91 + 480 + 2 + 36 + 8 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4408030449 + 87072206400 = 66393^2 + 295080^2 .

It is not a de Polignac number, because 91480236849 - 21 = 91480236847 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 91480236795 and 91480236804.

It is not an unprimeable number, because it can be changed into a prime (91480236847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37200982 + ... + 37203440.

Almost surely, 291480236849 is an apocalyptic number.

91480236849 is the 302457-th square number.

91480236849 is the 151229-th centered octagonal number.

It is an amenable number.

91480236849 is a deficient number, since it is larger than the sum of its proper divisors (44014472410).

91480236849 is an frugal number, since it uses more digits than its factorization.

91480236849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

It can be divided in two parts, 91480 and 236849, that added together give a square (328329 = 5732).

The spelling of 91480236849 in words is "ninety-one billion, four hundred eighty million, two hundred thirty-six thousand, eight hundred forty-nine".

Divisors: 1 3 9 41 123 369 1681 2459 5043 7377 15129 22131 100819 302457 907371 4133579 6046681 12400737 18140043 37202211 54420129 247913921 743741763 2231225289 10164470761 30493412283 91480236849