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10257282623 = 717331327061
BaseRepresentation
bin10011000110110000…
…11011011000111111
3222110211212221112102
421203120123120333
5132001331020443
64413453055315
7512120315030
oct114330333077
928424787472
1010257282623
114393a72285
121ba318753b
13c760ac903
146d43b6a87
1540077ecb8
hex26361b63f

10257282623 has 16 divisors (see below), whose sum is σ = 11828475456. Its totient is φ = 8712887040.

The previous prime is 10257282617. The next prime is 10257282631. The reversal of 10257282623 is 32628275201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10257282623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257282613) 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 15 ways as a sum of consecutive naturals, for example, 365513 + ... + 392573.

It is an arithmetic number, because the mean of its divisors is an integer number (739279716).

Almost surely, 210257282623 is an apocalyptic number.

10257282623 is a deficient number, since it is larger than the sum of its proper divisors (1571192833).

10257282623 is a wasteful number, since it uses less digits than its factorization.

10257282623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27554.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 10257282623 in words is "ten billion, two hundred fifty-seven million, two hundred eighty-two thousand, six hundred twenty-three".

Divisors: 1 7 173 313 1211 2191 27061 54149 189427 379043 4681553 8470093 32770871 59290651 1465326089 10257282623