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91804758049 = 1923724312
BaseRepresentation
bin101010101111111111…
…1010111000000100001
322202222000211220202001
41111133333113000201
53001004004224144
6110101410324001
76430002365554
oct1253777270041
9282860756661
1091804758049
1135a30435574
1215961289601
1388709b9c54
14462c89269b
1525c4a24bd4
hex155ffd7021

91804758049 has 27 divisors (see below), whose sum is σ = 99811922931. Its totient is φ = 84425969520.

The previous prime is 91804758047. The next prime is 91804758053. The reversal of 91804758049 is 94085740819.

It is a happy number.

The square root of 91804758049 is 302993.

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., 82148158225 + 9656599824 = 286615^2 + 98268^2 .

It is not a de Polignac number, because 91804758049 - 21 = 91804758047 is a prime.

It is a super-2 number, since 2×918047580492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91804758047) 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, 213003864 + ... + 213004294.

Almost surely, 291804758049 is an apocalyptic number.

91804758049 is the 302993-rd square number.

91804758049 is the 151497-th centered octagonal number.

It is an amenable number.

91804758049 is a deficient number, since it is larger than the sum of its proper divisors (8007164882).

91804758049 is an frugal number, since it uses more digits than its factorization.

91804758049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 91804758049 in words is "ninety-one billion, eight hundred four million, seven hundred fifty-eight thousand, forty-nine".

Divisors: 1 19 37 361 431 703 1369 8189 13357 15947 26011 155591 185761 302993 494209 590039 3529459 5756867 6873157 11210741 67059721 130589983 213004079 254306809 2481209677 4831829371 91804758049