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187722828401 is a prime number
BaseRepresentation
bin1010111011010100100…
…1110000101001110001
3122221112201121202012012
42232311021300221301
511033424021002101
6222123315412305
716363642466543
oct2566511605161
9587481552165
10187722828401
1172681708499
123046bbb4095
13149189204b4
14912b753693
154d3a703bbb
hex2bb5270a71

187722828401 has 2 divisors, whose sum is σ = 187722828402. Its totient is φ = 187722828400.

The previous prime is 187722828341. The next prime is 187722828413. The reversal of 187722828401 is 104828227781.

It is a happy number.

187722828401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182541708001 + 5181120400 = 427249^2 + 71980^2 .

It is a cyclic number.

It is not a de Polignac number, because 187722828401 - 210 = 187722827377 is a prime.

It is a super-3 number, since 3×1877228284013 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 187722828401.

It is not a weakly prime, because it can be changed into another prime (187722828481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 93861414200 + 93861414201.

It is an arithmetic number, because the mean of its divisors is an integer number (93861414201).

Almost surely, 2187722828401 is an apocalyptic number.

It is an amenable number.

187722828401 is a deficient number, since it is larger than the sum of its proper divisors (1).

187722828401 is an equidigital number, since it uses as much as digits as its factorization.

187722828401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 802816, while the sum is 50.

The spelling of 187722828401 in words is "one hundred eighty-seven billion, seven hundred twenty-two million, eight hundred twenty-eight thousand, four hundred one".