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91444442001 = 3112771043697
BaseRepresentation
bin101010100101010000…
…0110111001110010001
322202000220211222001020
41111022200313032101
52444234234121001
6110001535430053
76415035634503
oct1251240671621
9282026758036
1091444442001
1135866004810
1215880685329
1388141613a3
1445d6a9bd73
1525a309e736
hex154a837391

91444442001 has 8 divisors (see below), whose sum is σ = 133010097504. Its totient is φ = 55420873920.

The previous prime is 91444441967. The next prime is 91444442017. The reversal of 91444442001 is 10024444419.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 91444442001 - 27 = 91444441873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2771043697 = 91444442001 / (9 + 1 + 4 + 4 + 4 + 4 + 4 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (91444442081) 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 7 ways as a sum of consecutive naturals, for example, 1385521816 + ... + 1385521881.

It is an arithmetic number, because the mean of its divisors is an integer number (16626262188).

Almost surely, 291444442001 is an apocalyptic number.

It is an amenable number.

91444442001 is a deficient number, since it is larger than the sum of its proper divisors (41565655503).

91444442001 is a wasteful number, since it uses less digits than its factorization.

91444442001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771043711.

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 91444442001 in words is "ninety-one billion, four hundred forty-four million, four hundred forty-two thousand, one".

Divisors: 1 3 11 33 2771043697 8313131091 30481480667 91444442001