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7993529056 = 25318239791
BaseRepresentation
bin1110111000111001…
…11001001011100000
3202122002020100102201
413130130321023200
5112332320412211
63401105022544
7402041606302
oct73434711340
922562210381
107993529056
113432158767
121671024a54
139a50b8966
1455b8a1972
1531bb6d0c1
hex1dc7392e0

7993529056 has 48 divisors (see below), whose sum is σ = 16266313728. Its totient is φ = 3862742400.

The previous prime is 7993529029. The next prime is 7993529069. The reversal of 7993529056 is 6509253997.

It is a happy number.

It is a super-2 number, since 2×79935290562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7993528988 and 7993529006.

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 7 ways as a sum of consecutive naturals, for example, 811521 + ... + 821311.

It is an arithmetic number, because the mean of its divisors is an integer number (338881536).

Almost surely, 27993529056 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 7993529056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133156864).

7993529056 is an abundant number, since it is smaller than the sum of its proper divisors (8272784672).

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

7993529056 is a wasteful number, since it uses less digits than its factorization.

7993529056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 55.

The square root of 7993529056 is about 89406.5381054428. The cubic root of 7993529056 is about 1999.4606092085.

The spelling of 7993529056 in words is "seven billion, nine hundred ninety-three million, five hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 823 992 1646 3292 6584 9791 13168 19582 25513 26336 39164 51026 78328 102052 156656 204104 303521 313312 408208 607042 816416 1214084 2428168 4856336 8057993 9712672 16115986 32231972 64463944 128927888 249797783 257855776 499595566 999191132 1998382264 3996764528 7993529056