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9425665248 = 253199521947
BaseRepresentation
bin10001100011101000…
…00011110011100000
3220022220001101221220
420301310003303200
5123300432241443
64155144415040
7452401555416
oct106164036340
926286041856
109425665248
113aa75a689a
1219b0777480
13b72a0981c
14655b7b2b6
153a275ea83
hex231d03ce0

9425665248 has 96 divisors (see below), whose sum is σ = 24940742400. Its totient is φ = 3116805120.

The previous prime is 9425665247. The next prime is 9425665309. The reversal of 9425665248 is 8425665249.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 9425665248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9425665247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9952711 + ... + 9953657.

It is an arithmetic number, because the mean of its divisors is an integer number (259799400).

Almost surely, 29425665248 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 9425665248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470371200).

9425665248 is an abundant number, since it is smaller than the sum of its proper divisors (15515077152).

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

9425665248 is a wasteful number, since it uses less digits than its factorization.

9425665248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 9425665248 is about 97085.8653357944. The cubic root of 9425665248 is about 2112.3733055118.

Subtracting from 9425665248 its reverse (8425665249), we obtain a palindrome (999999999).

The spelling of 9425665248 in words is "nine billion, four hundred twenty-five million, six hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 521 597 796 947 1042 1194 1563 1592 1894 2084 2388 2841 3126 3184 3788 4168 4776 5682 6252 6368 7576 8336 9552 11364 12504 15152 16672 19104 22728 25008 30304 45456 50016 90912 103679 188453 207358 311037 376906 414716 493387 565359 622074 753812 829432 986774 1130718 1244148 1480161 1507624 1658864 1973548 2261436 2488296 2960322 3015248 3317728 3947096 4522872 4976592 5920644 6030496 7894192 9045744 9953184 11841288 15788384 18091488 23682576 47365152 98184013 196368026 294552039 392736052 589104078 785472104 1178208156 1570944208 2356416312 3141888416 4712832624 9425665248