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10157516461 is a prime number
BaseRepresentation
bin10010111010110111…
…10110011010101101
3222012220011022002101
421131123312122231
5131300311011321
64355530455101
7506466315421
oct113533663255
928186138071
1010157516461
114342720504
121b75894491
13c5b51b691
146c5046b81
153e6b24791
hex25d6f66ad

10157516461 has 2 divisors, whose sum is σ = 10157516462. Its totient is φ = 10157516460.

The previous prime is 10157516431. The next prime is 10157516533. The reversal of 10157516461 is 16461575101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5669186436 + 4488330025 = 75294^2 + 66995^2 .

It is a cyclic number.

It is not a de Polignac number, because 10157516461 - 25 = 10157516429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10157516461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10157516401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5078758230 + 5078758231.

It is an arithmetic number, because the mean of its divisors is an integer number (5078758231).

Almost surely, 210157516461 is an apocalyptic number.

It is an amenable number.

10157516461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10157516461 is an equidigital number, since it uses as much as digits as its factorization.

10157516461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 10157516461 in words is "ten billion, one hundred fifty-seven million, five hundred sixteen thousand, four hundred sixty-one".