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91992001801 = 741796476271
BaseRepresentation
bin101010110101100100…
…1101000110100001001
322210110002011212212211
41111223021220310021
53001344423024201
6110132135505121
76434435053660
oct1255311506411
9283402155784
1091992001801
11360170a5577
12159b3b281a1
1388a0728c7b
1446496b3dd7
1525d61ae651
hex156b268d09

91992001801 has 32 divisors (see below), whose sum is σ = 109247201280. Its totient is φ = 75823862400.

The previous prime is 91992001741. The next prime is 91992001831. The reversal of 91992001801 is 10810029919.

It is a cyclic number.

It is not a de Polignac number, because 91992001801 - 233 = 83402067209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91992001831) 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 31 ways as a sum of consecutive naturals, for example, 14666296 + ... + 14672566.

It is an arithmetic number, because the mean of its divisors is an integer number (3413975040).

Almost surely, 291992001801 is an apocalyptic number.

It is an amenable number.

91992001801 is a deficient number, since it is larger than the sum of its proper divisors (17255199479).

91992001801 is a wasteful number, since it uses less digits than its factorization.

91992001801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045.

The product of its (nonzero) digits is 11664, while the sum is 40.

The spelling of 91992001801 in words is "ninety-one billion, nine hundred ninety-two million, one thousand, eight hundred one".

Divisors: 1 7 41 79 287 553 647 3239 4529 6271 22673 26527 43897 51113 185689 257111 357791 495409 1799777 2095633 3467863 4057337 14669431 20311769 28401359 142182383 166350817 320529623 1164455719 2243707361 13141714543 91992001801