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7681345344 = 263413111311
BaseRepresentation
bin1110010011101100…
…00000011101000000
3201211022210202220000
413021312000131000
5111212411022334
63310113520000
7361231233561
oct71166003500
921738722800
107681345344
113291a124a2
1215a4573000
1395551337a
1452c23a168
152ee554299
hex1c9d80740

7681345344 has 140 divisors (see below), whose sum is σ = 22945758528. Its totient is φ = 2540678400.

The previous prime is 7681345337. The next prime is 7681345361. The reversal of 7681345344 is 4435431867.

7681345344 is a `hidden beast` number, since 7 + 6 + 81 + 34 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7681345344.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 673449 + ... + 684759.

Almost surely, 27681345344 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 7681345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11472879264).

7681345344 is an abundant number, since it is smaller than the sum of its proper divisors (15264413184).

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

7681345344 is a wasteful number, since it uses less digits than its factorization.

7681345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11466 (or 11447 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 7681345344 is about 87643.2846486255. The cubic root of 7681345344 is about 1973.0848577247.

The spelling of 7681345344 in words is "seven billion, six hundred eighty-one million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 131 144 162 192 216 262 288 324 393 432 524 576 648 786 864 1048 1179 1296 1572 1728 2096 2358 2592 3144 3537 4192 4716 5184 6288 7074 8384 9432 10611 11311 12576 14148 18864 21222 22622 25152 28296 33933 37728 42444 45244 56592 67866 75456 84888 90488 101799 113184 135732 169776 180976 203598 226368 271464 305397 339552 361952 407196 542928 610794 679104 723904 814392 916191 1085856 1221588 1481741 1628784 1832382 2171712 2443176 2963482 3257568 3664764 4445223 4886352 5926964 6515136 7329528 8890446 9772704 11853928 13335669 14659056 17780892 19545408 23707856 26671338 29318112 35561784 40007007 47415712 53342676 58636224 71123568 80014014 94831424 106685352 120021021 142247136 160028028 213370704 240042042 284494272 320056056 426741408 480084084 640112112 853482816 960168168 1280224224 1920336336 2560448448 3840672672 7681345344