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57958106389 is a prime number
BaseRepresentation
bin110101111110100100…
…101000010100010101
312112121012101212021221
4311332210220110111
51422144233401024
642343043210341
74121153530051
oct657644502425
9175535355257
1057958106389
1122641927187
12b2960769b1
135608705411
142b3b610c61
1517933673e4
hexd7e928515

57958106389 has 2 divisors, whose sum is σ = 57958106390. Its totient is φ = 57958106388.

The previous prime is 57958106329. The next prime is 57958106413. The reversal of 57958106389 is 98360185975.

57958106389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46583883889 + 11374222500 = 215833^2 + 106650^2 .

It is a cyclic number.

It is not a de Polignac number, because 57958106389 - 219 = 57957582101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57958106329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28979053194 + 28979053195.

It is an arithmetic number, because the mean of its divisors is an integer number (28979053195).

Almost surely, 257958106389 is an apocalyptic number.

It is an amenable number.

57958106389 is a deficient number, since it is larger than the sum of its proper divisors (1).

57958106389 is an equidigital number, since it uses as much as digits as its factorization.

57958106389 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 57958106389 in words is "fifty-seven billion, nine hundred fifty-eight million, one hundred six thousand, three hundred eighty-nine".