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4425518688 = 253239720663
BaseRepresentation
bin1000001111100100…
…00000111001100000
3102102102101122100120
410013302000321200
533030413044223
62011050120240
7214445200563
oct40762007140
912372348316
104425518688
1119710a9768
12a36120080
13556b29316
142dda7c4da
151ad7c9be3
hex107c80e60

4425518688 has 96 divisors (see below), whose sum is σ = 12247635456. Its totient is φ = 1396420608.

The previous prime is 4425518683. The next prime is 4425518689. The reversal of 4425518688 is 8868155244.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 4425518688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4425518683) 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, 203845 + ... + 224507.

It is an arithmetic number, because the mean of its divisors is an integer number (127579536).

Almost surely, 24425518688 is an apocalyptic number.

4425518688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4425518688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123817728).

4425518688 is an abundant number, since it is smaller than the sum of its proper divisors (7822116768).

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

4425518688 is a wasteful number, since it uses less digits than its factorization.

4425518688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20796 (or 20788 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 51.

The square root of 4425518688 is about 66524.5720617578. The cubic root of 4425518688 is about 1641.8043159813.

The spelling of 4425518688 in words is "four billion, four hundred twenty-five million, five hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 97 138 184 194 276 291 368 388 552 582 736 776 1104 1164 1552 2208 2231 2328 3104 4462 4656 6693 8924 9312 13386 17848 20663 26772 35696 41326 53544 61989 71392 82652 107088 123978 165304 214176 247956 330608 475249 495912 661216 950498 991824 1425747 1900996 1983648 2004311 2851494 3801992 4008622 5702988 6012933 7603984 8017244 11405976 12025866 15207968 16034488 22811952 24051732 32068976 45623904 46099153 48103464 64137952 92198306 96206928 138297459 184396612 192413856 276594918 368793224 553189836 737586448 1106379672 1475172896 2212759344 4425518688