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257230249961 = 971572647573
BaseRepresentation
bin1110111110010000011…
…1100001111111101001
3220120221211002121110212
43233210013201333221
513203301420444321
6314100412550505
724404256022466
oct3574407417751
9816854077425
10257230249961
119a0aa852043
1241a29a82435
131b344cb0ac9
14c642b8666d
156a5796555b
hex3be41e1fe9

257230249961 has 4 divisors (see below), whose sum is σ = 257232994692. Its totient is φ = 257227505232.

The previous prime is 257230249921. The next prime is 257230249967. The reversal of 257230249961 is 169942032752.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 107104998361 + 150125251600 = 327269^2 + 387460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257230249961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257230249967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1226630 + ... + 1420943.

It is an arithmetic number, because the mean of its divisors is an integer number (64308248673).

Almost surely, 2257230249961 is an apocalyptic number.

It is an amenable number.

257230249961 is a deficient number, since it is larger than the sum of its proper divisors (2744731).

257230249961 is an equidigital number, since it uses as much as digits as its factorization.

257230249961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744730.

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 257230249961 in words is "two hundred fifty-seven billion, two hundred thirty million, two hundred forty-nine thousand, nine hundred sixty-one".

Divisors: 1 97157 2647573 257230249961