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10263445664 = 252336737997
BaseRepresentation
bin10011000111011111…
…11100000010100000
3222111021111001122012
421203233330002200
5132004420230124
64414233132052
7512223564053
oct114357740240
928437431565
1010263445664
1143974a16aa
121ba525a028
13c77459b94
146d513ca9a
1540109ae0e
hex263bfc0a0

10263445664 has 48 divisors (see below), whose sum is σ = 21142695168. Its totient is φ = 4895100672.

The previous prime is 10263445657. The next prime is 10263445667. The reversal of 10263445664 is 46654436201.

It is not an unprimeable number, because it can be changed into a prime (10263445667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251114 + ... + 289110.

It is an arithmetic number, because the mean of its divisors is an integer number (440472816).

Almost surely, 210263445664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10263445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10571347584).

10263445664 is an abundant number, since it is smaller than the sum of its proper divisors (10879249504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10263445664 is a wasteful number, since it uses less digits than its factorization.

10263445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38397 (or 38389 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 10263445664 in words is "ten billion, two hundred sixty-three million, four hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 367 368 734 736 1468 2936 5872 8441 11744 16882 33764 37997 67528 75994 135056 151988 270112 303976 607952 873931 1215904 1747862 3495724 6991448 13944899 13982896 27889798 27965792 55779596 111559192 223118384 320732677 446236768 641465354 1282930708 2565861416 5131722832 10263445664