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190584926401 is a prime number
BaseRepresentation
bin1011000101111110111…
…1110011000011000001
3200012221012011101112211
42301133233303003001
511110304220121101
6223315320222121
716524605100562
oct2613757630301
9605835141484
10190584926401
117391024a041
1230b2a60a941
1314c838805cc
14931d900169
154e56b07c51
hex2c5fbf30c1

190584926401 has 2 divisors, whose sum is σ = 190584926402. Its totient is φ = 190584926400.

The previous prime is 190584926383. The next prime is 190584926429. The reversal of 190584926401 is 104629485091.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160448313600 + 30136612801 = 400560^2 + 173599^2 .

It is a cyclic number.

It is not a de Polignac number, because 190584926401 - 217 = 190584795329 is a prime.

It is a super-2 number, since 2×1905849264012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (190584926431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 95292463200 + 95292463201.

It is an arithmetic number, because the mean of its divisors is an integer number (95292463201).

Almost surely, 2190584926401 is an apocalyptic number.

It is an amenable number.

190584926401 is a deficient number, since it is larger than the sum of its proper divisors (1).

190584926401 is an equidigital number, since it uses as much as digits as its factorization.

190584926401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 190584926401 in words is "one hundred ninety billion, five hundred eighty-four million, nine hundred twenty-six thousand, four hundred one".