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64282125687 = 313171915732503
BaseRepresentation
bin111011110111100000…
…110110010101110111
320010220221011022212220
4323313200312111313
52023122211010222
645310353013423
74433654024103
oct736740662567
9203827138786
1064282125687
112529764750a
121055bb54273
1360a595b980
14317b486903
151a13655b5c
hexef7836577

64282125687 has 64 divisors (see below), whose sum is σ = 103534341120. Its totient is φ = 35045996544.

The previous prime is 64282125671. The next prime is 64282125689. The reversal of 64282125687 is 78652128246.

It is not a de Polignac number, because 64282125687 - 24 = 64282125671 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64282125689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1961478 + ... + 1993980.

It is an arithmetic number, because the mean of its divisors is an integer number (1617724080).

Almost surely, 264282125687 is an apocalyptic number.

64282125687 is a deficient number, since it is larger than the sum of its proper divisors (39252215433).

64282125687 is a wasteful number, since it uses less digits than its factorization.

64282125687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32712.

The product of its digits is 2580480, while the sum is 51.

The spelling of 64282125687 in words is "sixty-four billion, two hundred eighty-two million, one hundred twenty-five thousand, six hundred eighty-seven".

Divisors: 1 3 13 17 19 39 51 57 157 221 247 323 471 663 741 969 2041 2669 2983 4199 6123 8007 8949 12597 32503 34697 38779 50711 97509 104091 116337 152133 422539 552551 617557 659243 1267617 1657653 1852671 1977729 5102971 7183163 8028241 10498469 15308913 21549489 24084723 31495407 66338623 86750507 96956449 136480097 199015869 260251521 290869347 409440291 1127756591 1260433837 1648259633 3383269773 3781301511 4944778899 21427375229 64282125687