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63125663928 = 23329436613191
BaseRepresentation
bin111010110010100101…
…010011000010111000
320000221100001222120220
4322302211103002320
52013240132221203
644555522020040
74363212201345
oct726245230270
9200840058526
1063125663928
1124853878698
12102987a7620
135c5019c682
1430aba4b7cc
151996d6a653
hexeb29530b8

63125663928 has 128 divisors (see below), whose sum is σ = 167357836800. Its totient is φ = 19807603200.

The previous prime is 63125663927. The next prime is 63125663959. The reversal of 63125663928 is 82936652136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63125663921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19780813 + ... + 19784003.

It is an arithmetic number, because the mean of its divisors is an integer number (1307483100).

Almost surely, 263125663928 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 63125663928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83678918400).

63125663928 is an abundant number, since it is smaller than the sum of its proper divisors (104232172872).

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

63125663928 is a wasteful number, since it uses less digits than its factorization.

63125663928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3929 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The spelling of 63125663928 in words is "sixty-three billion, one hundred twenty-five million, six hundred sixty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 516 661 696 1032 1247 1322 1983 2494 2644 3191 3741 3966 4988 5288 6382 7482 7932 9573 9976 12764 14964 15864 19146 19169 25528 28423 29928 38292 38338 56846 57507 76584 76676 85269 92539 113692 115014 137213 153352 170538 185078 227384 230028 274426 277617 341076 370156 411639 460056 548852 555234 682152 740312 823278 824267 1097704 1110468 1646556 1648534 2109251 2220936 2472801 3293112 3297068 3979177 4218502 4945602 6327753 6594136 7958354 8437004 9891204 11937531 12655506 15916708 16874008 19782408 23875062 25311012 31833416 47750124 50622024 61168279 90697793 95500248 122336558 181395586 183504837 244673116 272093379 362791172 367009674 489346232 544186758 725582344 734019348 1088373516 1468038696 2176747032 2630235997 5260471994 7890707991 10520943988 15781415982 21041887976 31562831964 63125663928