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8325344880 = 2432583139313
BaseRepresentation
bin1111100000011101…
…01010111001110000
3210111012121100011200
413300032222321300
5114022242014010
63454041011200
7413211156336
oct76016527160
923435540150
108325344880
113592492916
121744183b00
13a28a76098
1458d997b56
1533ad63cc0
hex1f03aae70

8325344880 has 120 divisors (see below), whose sum is σ = 28296345168. Its totient is φ = 2193328128.

The previous prime is 8325344879. The next prime is 8325344971. The reversal of 8325344880 is 884435238.

8325344880 is a `hidden beast` number, since 8 + 32 + 534 + 4 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×83253448802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9897 + ... + 129416.

Almost surely, 28325344880 is an apocalyptic number.

8325344880 is a gapful number since it is divisible by the number (80) 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 8325344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148172584).

8325344880 is an abundant number, since it is smaller than the sum of its proper divisors (19971000288).

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

8325344880 is a wasteful number, since it uses less digits than its factorization.

8325344880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139415 (or 139406 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8325344880 is about 91243.3278656582. The cubic root of 8325344880 is about 2026.7526262498.

The spelling of 8325344880 in words is "eight billion, three hundred twenty-five million, three hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 360 415 498 664 720 747 830 996 1245 1328 1494 1660 1992 2490 2988 3320 3735 3984 4980 5976 6640 7470 9960 11952 14940 19920 29880 59760 139313 278626 417939 557252 696565 835878 1114504 1253817 1393130 1671756 2089695 2229008 2507634 2786260 3343512 4179390 5015268 5572520 6269085 6687024 8358780 10030536 11145040 11562979 12538170 16717560 20061072 23125958 25076340 33435120 34688937 46251916 50152680 57814895 69377874 92503832 100305360 104066811 115629790 138755748 173444685 185007664 208133622 231259580 277511496 346889370 416267244 462519160 520334055 555022992 693778740 832534488 925038320 1040668110 1387557480 1665068976 2081336220 2775114960 4162672440 8325344880