Search a number
-
+
977028998401 is a prime number
BaseRepresentation
bin11100011011110110111…
…01110110010100000001
310110101212211102122020001
432031323131312110001
5112001423410422101
62024501350120001
7130405455313621
oct16157335662401
93411784378201
10977028998401
113473a0442455
12139431050001
13711972207c1
1435407746881
151a634c83901
hexe37b776501

977028998401 has 2 divisors, whose sum is σ = 977028998402. Its totient is φ = 977028998400.

The previous prime is 977028998371. The next prime is 977028998431. The reversal of 977028998401 is 104899820779.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (977028998371) and next prime (977028998431).

It can be written as a sum of positive squares in only one way, i.e., 935514528400 + 41514470001 = 967220^2 + 203751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-977028998401 is a prime.

It is a super-2 number, since 2×9770289984012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (977028998431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 488514499200 + 488514499201.

It is an arithmetic number, because the mean of its divisors is an integer number (488514499201).

Almost surely, 2977028998401 is an apocalyptic number.

It is an amenable number.

977028998401 is a deficient number, since it is larger than the sum of its proper divisors (1).

977028998401 is an equidigital number, since it uses as much as digits as its factorization.

977028998401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18289152, while the sum is 64.

The spelling of 977028998401 in words is "nine hundred seventy-seven billion, twenty-eight million, nine hundred ninety-eight thousand, four hundred one".