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9973090320401 = 136112576406457
BaseRepresentation
bin1001000100100000101010…
…0000011000000000010001
31022022102021210220220002102
42101020022200120000101
52301344342110223101
633113324025130145
72046350322010025
oct221101240300021
938272253826072
109973090320401
1131a562254049a
121150a27929955
135745c60ac6a0
142669b32bc385
1512465279e86b
hex9120a818011

9973090320401 has 8 divisors (see below), whose sum is σ = 10916320805544. Its totient is φ = 9055012648320.

The previous prime is 9973090320373. The next prime is 9973090320449. The reversal of 9973090320401 is 1040230903799.

It is a happy number.

It is a Cunningham number, because it is equal to 31580202+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 9973090320400 = 1^2 + 3158020^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 9973090320401 - 210 = 9973090319377 is a prime.

It is a super-2 number, since 2×99730903204012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9973090320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6288202436 + ... + 6288204021.

It is an arithmetic number, because the mean of its divisors is an integer number (1364540100693).

Almost surely, 29973090320401 is an apocalyptic number.

It is an amenable number.

9973090320401 is a deficient number, since it is larger than the sum of its proper divisors (943230485143).

9973090320401 is a wasteful number, since it uses less digits than its factorization.

9973090320401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576406531.

The product of its (nonzero) digits is 367416, while the sum is 47.

The spelling of 9973090320401 in words is "nine trillion, nine hundred seventy-three billion, ninety million, three hundred twenty thousand, four hundred one".

Divisors: 1 13 61 793 12576406457 163493283941 767160793877 9973090320401