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8042965120 = 275103122011
BaseRepresentation
bin1110111110110010…
…11110100010000000
3202202112020221222001
413133121132202000
5112432444340440
63410032353344
7403212034621
oct73731364200
922675227861
108042965120
113458053813
1216856a5854
139b2407478
1456428da48
15321185b9a
hex1df65e880

8042965120 has 64 divisors (see below), whose sum is σ = 19414549440. Its totient is φ = 3185925120.

The previous prime is 8042965109. The next prime is 8042965123. The reversal of 8042965120 is 215692408.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×80429651202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8042965120.

It is not an unprimeable number, because it can be changed into a prime (8042965123) 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 7 ways as a sum of consecutive naturals, for example, 4915 + ... + 126925.

It is an arithmetic number, because the mean of its divisors is an integer number (303352335).

Almost surely, 28042965120 is an apocalyptic number.

8042965120 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 8042965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707274720).

8042965120 is an abundant number, since it is smaller than the sum of its proper divisors (11371584320).

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

8042965120 is a wasteful number, since it uses less digits than its factorization.

8042965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122133 (or 122121 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 8042965120 is about 89682.5798023228. The cubic root of 8042965120 is about 2003.5740359955.

The spelling of 8042965120 in words is "eight billion, forty-two million, nine hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 320 412 515 640 824 1030 1648 2060 3296 4120 6592 8240 13184 16480 32960 65920 122011 244022 488044 610055 976088 1220110 1952176 2440220 3904352 4880440 7808704 9760880 12567133 15617408 19521760 25134266 39043520 50268532 62835665 78087040 100537064 125671330 201074128 251342660 402148256 502685320 804296512 1005370640 1608593024 2010741280 4021482560 8042965120