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1257207117 = 32325314947
BaseRepresentation
bin100101011101111…
…0111010101001101
310020121122201221120
41022323313111031
510033321111432
6324430151153
743104040605
oct11273672515
93217581846
101257207117
1159572a351
122b10524b9
1317060414a
14bcd81c05
157558ac2c
hex4aef754d

1257207117 has 24 divisors (see below), whose sum is σ = 1785508704. Its totient is φ = 786518304.

The previous prime is 1257207113. The next prime is 1257207167. The reversal of 1257207117 is 7117027521.

It is not a de Polignac number, because 1257207117 - 22 = 1257207113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257207113) 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 in 23 ways as a sum of consecutive naturals, for example, 76638 + ... + 91584.

It is an arithmetic number, because the mean of its divisors is an integer number (74396196).

Almost surely, 21257207117 is an apocalyptic number.

It is an amenable number.

1257207117 is a deficient number, since it is larger than the sum of its proper divisors (528301587).

1257207117 is a wasteful number, since it uses less digits than its factorization.

1257207117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15049 (or 15026 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 33.

The square root of 1257207117 is about 35457.1165917366. The cubic root of 1257207117 is about 1079.2836805211.

The spelling of 1257207117 in words is "one billion, two hundred fifty-seven million, two hundred seven thousand, one hundred seventeen".

Divisors: 1 3 23 53 69 159 529 1219 1587 3657 14947 28037 44841 84111 343781 792191 1031343 2376573 7906963 18220393 23720889 54661179 419069039 1257207117