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1157475312337 is a prime number
BaseRepresentation
bin10000110101111110111…
…001111010001011010001
311002122122110000011002111
4100311332321322023101
5122431002134443322
62243423052545321
7146424213551551
oct20657671721321
94078573004074
101157475312337
11406978702923
121683b0182241
13851c3471026
1440044921161
152019674d177
hex10d7ee7a2d1

1157475312337 has 2 divisors, whose sum is σ = 1157475312338. Its totient is φ = 1157475312336.

The previous prime is 1157475312293. The next prime is 1157475312359. The reversal of 1157475312337 is 7332135747511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 810223215376 + 347252096961 = 900124^2 + 589281^2 .

It is a cyclic number.

It is not a de Polignac number, because 1157475312337 - 27 = 1157475312209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1157475312397) 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 as a sum of consecutive naturals, namely, 578737656168 + 578737656169.

It is an arithmetic number, because the mean of its divisors is an integer number (578737656169).

Almost surely, 21157475312337 is an apocalyptic number.

It is an amenable number.

1157475312337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1157475312337 is an equidigital number, since it uses as much as digits as its factorization.

1157475312337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1852200, while the sum is 49.

The spelling of 1157475312337 in words is "one trillion, one hundred fifty-seven billion, four hundred seventy-five million, three hundred twelve thousand, three hundred thirty-seven".