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1957100009 is a prime number
BaseRepresentation
bin111010010100110…
…1111100111101001
312001101121222111112
41310221233213221
513002004200014
6522111240105
766333034634
oct16451574751
95041558445
101957100009
11914806227
12467519035
13252606857
14147cccc1b
15b6c3b73e
hex74a6f9e9

1957100009 has 2 divisors, whose sum is σ = 1957100010. Its totient is φ = 1957100008.

The previous prime is 1957099999. The next prime is 1957100023. The reversal of 1957100009 is 9000017591.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1332250000 + 624850009 = 36500^2 + 24997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1957100009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1957100039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 978550004 + 978550005.

It is an arithmetic number, because the mean of its divisors is an integer number (978550005).

Almost surely, 21957100009 is an apocalyptic number.

It is an amenable number.

1957100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1957100009 is an equidigital number, since it uses as much as digits as its factorization.

1957100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 32.

The square root of 1957100009 is about 44239.1230586683. The cubic root of 1957100009 is about 1250.8474272838.

The spelling of 1957100009 in words is "one billion, nine hundred fifty-seven million, one hundred thousand, nine".