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91273273091 = 74113134
BaseRepresentation
bin101010100000001001…
…1111001111100000011
322201120222202200102222
41111000103321330003
52443411424214331
6105532543001255
76410560010000
oct1250023717403
9281528680388
1091273273091
1135788424000
121583329922b
1387b7860000
1445bc0628a7
15259303cb7b
hex15404f9f03

91273273091 has 100 divisors (see below), whose sum is σ = 126878644824. Its totient is φ = 65651105520.

The previous prime is 91273273033. The next prime is 91273273097. The reversal of 91273273091 is 19037237219.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 91273273091 - 222 = 91269078787 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91273273097) 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 99 ways as a sum of consecutive naturals, for example, 7021021001 + ... + 7021021013.

Almost surely, 291273273091 is an apocalyptic number.

91273273091 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

91273273091 is a deficient number, since it is larger than the sum of its proper divisors (35605371733).

91273273091 is an frugal number, since it uses more digits than its factorization.

91273273091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 44.

Multiplying 91273273091 by its sum of digits (44), we get a square (4016024016004 = 20040022).

The spelling of 91273273091 in words is "ninety-one billion, two hundred seventy-three million, two hundred seventy-three thousand, ninety-one".

Divisors: 1 7 11 13 49 77 91 121 143 169 343 539 637 847 1001 1183 1331 1573 1859 2197 2401 3773 4459 5929 7007 8281 9317 11011 13013 15379 17303 20449 24167 26411 28561 31213 41503 49049 57967 65219 77077 91091 107653 121121 143143 169169 199927 224939 265837 290521 314171 343343 405769 456533 539539 637637 753571 847847 1002001 1184183 1399489 1574573 1860859 2199197 2924207 3195731 3455881 3776773 4463459 5274997 5934929 7014007 8289281 9796423 11022011 13026013 15394379 20469449 24191167 38014691 41544503 49098049 58024967 68574961 77154077 91182091 107760653 143286143 169338169 266102837 540078539 638274637 754324571 1003003001 1185367183 1862719859 7021021007 8297570281 13039039013 91273273091