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7115520768 = 283313311
BaseRepresentation
bin1101010000001111…
…00011101100000000
3200100220002220111020
412220013203230000
5104033033131033
63134022145440
7341220633336
oct65007435400
920326086436
107115520768
113021587084
121466b82280
13895222125
144b702bb56
152b9a376b3
hex1a81e3b00

7115520768 has 144 divisors (see below), whose sum is σ = 19631818752. Its totient is φ = 2287948800.

The previous prime is 7115520743. The next prime is 7115520781. The reversal of 7115520768 is 8670255117.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22879333 + ... + 22879643.

Almost surely, 27115520768 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 7115520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9815909376).

7115520768 is an abundant number, since it is smaller than the sum of its proper divisors (12516297984).

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

7115520768 is an frugal number, since it uses more digits than its factorization.

7115520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The square root of 7115520768 is about 84353.5462680734. The cubic root of 7115520768 is about 1923.3968340524.

The spelling of 7115520768 in words is "seven billion, one hundred fifteen million, five hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 311 372 384 496 622 744 768 933 961 992 1244 1488 1866 1922 1984 2488 2883 2976 3732 3844 3968 4976 5766 5952 7464 7688 7936 9641 9952 11532 11904 14928 15376 19282 19904 23064 23808 28923 29791 29856 30752 38564 39808 46128 57846 59582 59712 61504 77128 79616 89373 92256 115692 119164 119424 123008 154256 178746 184512 231384 238328 238848 246016 298871 308512 357492 369024 462768 476656 597742 617024 714984 738048 896613 925536 953312 1195484 1234048 1429968 1793226 1851072 1906624 2390968 2468096 2859936 3586452 3702144 3813248 4781936 5719872 7172904 7404288 7626496 9265001 9563872 11439744 14345808 18530002 19127744 22879488 27795003 28691616 37060004 38255488 55590006 57383232 74120008 76510976 111180012 114766464 148240016 222360024 229532928 296480032 444720048 592960064 889440096 1185920128 1778880192 2371840256 3557760384 7115520768