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157818413 is a prime number
BaseRepresentation
bin10010110100000…
…01111000101101
3101222222000011102
421122001320231
5310400142123
623354332445
73624301664
oct1132017055
9358860142
10157818413
11810a2345
1244a2a125
132690879c
1416d61ddb
15dcc6028
hex9681e2d

157818413 has 2 divisors, whose sum is σ = 157818414. Its totient is φ = 157818412.

The previous prime is 157818359. The next prime is 157818421. The reversal of 157818413 is 314818751.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136492489 + 21325924 = 11683^2 + 4618^2 .

It is a cyclic number.

It is not a de Polignac number, because 157818413 - 222 = 153624109 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157818013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78909206 + 78909207.

It is an arithmetic number, because the mean of its divisors is an integer number (78909207).

Almost surely, 2157818413 is an apocalyptic number.

It is an amenable number.

157818413 is a deficient number, since it is larger than the sum of its proper divisors (1).

157818413 is an equidigital number, since it uses as much as digits as its factorization.

157818413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 38.

The square root of 157818413 is about 12562.5798703929. The cubic root of 157818413 is about 540.4048324565.

It can be divided in two parts, 1578 and 18413, that added together give a palindrome (19991).

The spelling of 157818413 in words is "one hundred fifty-seven million, eight hundred eighteen thousand, four hundred thirteen".