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7991211333001 = 131973379259193
BaseRepresentation
bin111010001001001100101…
…0100000001010110001001
31001021221201020221212020011
41310102121110001112021
52021412000100124001
624555040052231521
71453226444403331
oct164223124012611
931257636855204
107991211333001
112601065515686
12a9090060b5a1
1345c74cb686a0
141d8ac335a0c1
15dcd0a5d0d51
hex74499501589

7991211333001 has 16 divisors (see below), whose sum is σ = 8675272189584. Its totient is φ = 7317280180224.

The previous prime is 7991211332969. The next prime is 7991211333029. The reversal of 7991211333001 is 1003331121997.

It can be written as a sum of positive squares in 8 ways, for example, as 264117877776 + 7727093455225 = 513924^2 + 2779765^2 .

It is a cyclic number.

It is not a de Polignac number, because 7991211333001 - 25 = 7991211332969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7991211333071) 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 15 ways as a sum of consecutive naturals, for example, 3766540 + ... + 5492653.

It is an arithmetic number, because the mean of its divisors is an integer number (542204511849).

Almost surely, 27991211333001 is an apocalyptic number.

It is an amenable number.

7991211333001 is a deficient number, since it is larger than the sum of its proper divisors (684060856583).

7991211333001 is a wasteful number, since it uses less digits than its factorization.

7991211333001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9259740.

The product of its (nonzero) digits is 30618, while the sum is 40.

Adding to 7991211333001 its reverse (1003331121997), we get a palindrome (8994542454998).

The spelling of 7991211333001 in words is "seven trillion, nine hundred ninety-one billion, two hundred eleven million, three hundred thirty-three thousand, one".

Divisors: 1 13 197 337 2561 4381 66389 863057 9259193 120369509 1824061021 3120348041 23712793273 40564524533 614708564077 7991211333001