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10257386271 = 31117124914639
BaseRepresentation
bin10011000110110001…
…10100101100011111
3222110212002012201020
421203120310230133
5132001342330041
64413455215223
7512121226146
oct114330645437
928425065636
1010257386271
114394033140
121ba3217513
13c76117b42
146d440275d
154007a0866
hex263634b1f

10257386271 has 32 divisors (see below), whose sum is σ = 15811200000. Its totient is φ = 5845831680.

The previous prime is 10257386257. The next prime is 10257386297. The reversal of 10257386271 is 17268375201.

It is not a de Polignac number, because 10257386271 - 26 = 10257386207 is a prime.

It is a super-2 number, since 2×102573862712 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257386201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693370 + ... + 708008.

It is an arithmetic number, because the mean of its divisors is an integer number (494100000).

Almost surely, 210257386271 is an apocalyptic number.

10257386271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10257386271 is a deficient number, since it is larger than the sum of its proper divisors (5553813729).

10257386271 is a wasteful number, since it uses less digits than its factorization.

10257386271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15919.

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10257386271 in words is "ten billion, two hundred fifty-seven million, three hundred eighty-six thousand, two hundred seventy-one".

Divisors: 1 3 11 17 33 51 187 561 1249 3747 13739 14639 21233 41217 43917 63699 161029 233563 248863 483087 700689 746589 2737493 8212479 18284111 54852333 201125221 310829887 603375663 932489661 3419128757 10257386271