Search a number
-
+
157052400961 is a prime number
BaseRepresentation
bin1001001001000100001…
…1010111010101000001
3120000101020210121021011
42102101003113111001
510033120403312321
6200052054000521
714226622245001
oct2222103272501
9500336717234
10157052400961
1160672a933a5
1226530646141
1311a6b6a1591
14785c26c001
154142ce9ae1
hex24910d7541

157052400961 has 2 divisors, whose sum is σ = 157052400962. Its totient is φ = 157052400960.

The previous prime is 157052400929. The next prime is 157052401021. The reversal of 157052400961 is 169004250751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92625270336 + 64427130625 = 304344^2 + 253825^2 .

It is a cyclic number.

It is not a de Polignac number, because 157052400961 - 25 = 157052400929 is a prime.

It is a super-2 number, since 2×1570524009612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (157052407961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78526200480 + 78526200481.

It is an arithmetic number, because the mean of its divisors is an integer number (78526200481).

Almost surely, 2157052400961 is an apocalyptic number.

It is an amenable number.

157052400961 is a deficient number, since it is larger than the sum of its proper divisors (1).

157052400961 is an equidigital number, since it uses as much as digits as its factorization.

157052400961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 157052400961 in words is "one hundred fifty-seven billion, fifty-two million, four hundred thousand, nine hundred sixty-one".