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78922294480 = 2452579773929
BaseRepresentation
bin100100110000000100…
…0101010010011010000
321112201020012221221201
41021200020222103100
52243113101410410
6100131214400544
75462524302001
oct1114010522320
9245636187851
1078922294480
113051a639a67
1213366b00154
137599a8ba43
143b699a11a8
1520bda8d83a
hex126022a4d0

78922294480 has 80 divisors (see below), whose sum is σ = 184443797520. Its totient is φ = 31405899776.

The previous prime is 78922294463. The next prime is 78922294483. The reversal of 78922294480 is 8449222987.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7998082624 + 70924211856 = 89432^2 + 266316^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78922294483) 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, 20085156 + ... + 20089084.

It is an arithmetic number, because the mean of its divisors is an integer number (2305547469).

Almost surely, 278922294480 is an apocalyptic number.

It is an amenable number.

78922294480 is an abundant number, since it is smaller than the sum of its proper divisors (105521503040).

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

78922294480 is a wasteful number, since it uses less digits than its factorization.

78922294480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 78922294480 in words is "seventy-eight billion, nine hundred twenty-two million, two hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 977 1028 1285 1954 2056 2570 3908 3929 4112 4885 5140 7816 7858 9770 10280 15632 15716 19540 19645 20560 31432 39080 39290 62864 78160 78580 157160 251089 314320 502178 1004356 1009753 1255445 2008712 2019506 2510890 3838633 4017424 4039012 5021780 5048765 7677266 8078024 10043560 10097530 15354532 16156048 19193165 20087120 20195060 30709064 38386330 40390120 61418128 76772660 80780240 153545320 307090640 986528681 1973057362 3946114724 4932643405 7892229448 9865286810 15784458896 19730573620 39461147240 78922294480