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157464000049 is a prime number
BaseRepresentation
bin1001001010100110010…
…1011111011000110001
3120001102221022000001211
42102221211133120301
510034441241000144
6200201000000121
714243050626226
oct2225145373061
9501387260054
10157464000049
1160864360934
1226626460041
1311b05a44535
14789abb194d
154169000034
hex24a995f631

157464000049 has 2 divisors, whose sum is σ = 157464000050. Its totient is φ = 157464000048.

The previous prime is 157463999947. The next prime is 157464000091. The reversal of 157464000049 is 940000464751.

157464000049 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., 104075276449 + 53388723600 = 322607^2 + 231060^2 .

It is a cyclic number.

It is not a de Polignac number, because 157464000049 - 27 = 157463999921 is a prime.

It is a super-2 number, since 2×1574640000492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157463999975 and 157464000020.

It is not a weakly prime, because it can be changed into another prime (157464030049) 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, 78732000024 + 78732000025.

It is an arithmetic number, because the mean of its divisors is an integer number (78732000025).

Almost surely, 2157464000049 is an apocalyptic number.

It is an amenable number.

157464000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

157464000049 is an equidigital number, since it uses as much as digits as its factorization.

157464000049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 157464000049 in words is "one hundred fifty-seven billion, four hundred sixty-four million, forty-nine", and thus it is an aban number.