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7116824064 = 29372113137
BaseRepresentation
bin1101010000011001…
…00001111000000000
3200100222120010021110
412220030201320000
5104033401332224
63134110123320
7341235002130
oct65014417000
920328503243
107116824064
113022297289
1214674b0540
1389558a3cc
144b728aac0
152b9be3929
hex1a8321e00

7116824064 has 160 divisors (see below), whose sum is σ = 21777820416. Its totient is φ = 2023096320.

The previous prime is 7116824063. The next prime is 7116824081. The reversal of 7116824064 is 4604286117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7116824063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2267104 + ... + 2270240.

Almost surely, 27116824064 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 7116824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10888910208).

7116824064 is an abundant number, since it is smaller than the sum of its proper divisors (14660996352).

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

7116824064 is a wasteful number, since it uses less digits than its factorization.

7116824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 7116824064 is about 84361.2711141789. The cubic root of 7116824064 is about 1923.5142582227.

The spelling of 7116824064 in words is "seven billion, one hundred sixteen million, eight hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 211 224 256 336 384 422 448 512 633 672 768 844 896 1266 1344 1477 1536 1688 1792 2532 2688 2954 3137 3376 3584 4431 5064 5376 5908 6274 6752 8862 9411 10128 10752 11816 12548 13504 17724 18822 20256 21959 23632 25096 27008 35448 37644 40512 43918 47264 50192 54016 65877 70896 75288 81024 87836 94528 100384 108032 131754 141792 150576 162048 175672 189056 200768 263508 283584 301152 324096 351344 378112 401536 527016 567168 602304 661907 702688 756224 803072 1054032 1134336 1204608 1323814 1405376 1606144 1985721 2108064 2268672 2409216 2647628 2810752 3971442 4216128 4633349 4818432 5295256 5621504 7942884 8432256 9266698 10590512 11243008 13900047 15885768 16864512 18533396 21181024 27800094 31771536 33729024 37066792 42362048 55600188 63543072 74133584 84724096 111200376 127086144 148267168 169448192 222400752 254172288 296534336 338896384 444801504 508344576 593068672 889603008 1016689152 1186137344 1779206016 2372274688 3558412032 7116824064