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7693786873968 = 24313711071622981
BaseRepresentation
bin110111111110101100101…
…1011110000000001110000
31000020112000020100212111020
41233331121123300001300
52002023333414431333
624210251002015440
71422600132251526
oct157753133600160
930215006325436
107693786873968
1124a6a0a128438
12a431357a7580
1343a6a07c7b20
141c854a2d0316
15d51ee0c03b3
hex6ff596f0070

7693786873968 has 160 divisors (see below), whose sum is σ = 21908854743552. Its totient is φ = 2312162227200.

The previous prime is 7693786873909. The next prime is 7693786874017. The reversal of 7693786873968 is 8693786873967.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3929038 + ... + 5552018.

Almost surely, 27693786873968 is an apocalyptic number.

7693786873968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7693786873968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10954427371776).

7693786873968 is an abundant number, since it is smaller than the sum of its proper divisors (14215067869584).

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

7693786873968 is a wasteful number, since it uses less digits than its factorization.

7693786873968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623183 (or 1623177 counting only the distinct ones).

The product of its digits is 27653197824, while the sum is 87.

Subtracting 7693786873968 from its reverse (8693786873967), we obtain a palindrome (999999999999).

The spelling of 7693786873968 in words is "seven trillion, six hundred ninety-three billion, seven hundred eighty-six million, eight hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 107 142 156 208 213 214 284 312 321 426 428 568 624 642 852 856 923 1136 1284 1391 1704 1712 1846 2568 2769 2782 3408 3692 4173 5136 5538 5564 7384 7597 8346 11076 11128 14768 15194 16692 22152 22256 22791 30388 33384 44304 45582 60776 66768 91164 98761 121552 182328 197522 296283 364656 395044 592566 790088 1185132 1580176 1622981 2370264 3245962 4740528 4868943 6491924 9737886 12983848 19475772 21098753 25967696 38951544 42197506 63296259 77903088 84395012 115231651 126592518 168790024 173658967 230463302 253185036 337580048 345694953 347317934 460926604 506370072 520976901 691389906 694635868 921853208 1012740144 1041953802 1382779812 1389271736 1498011463 1843706416 2083907604 2257566571 2765559624 2778543472 2996022926 4167815208 4494034389 4515133142 5531119248 5992045852 6772699713 8335630416 8988068778 9030266284 11984091704 12329786657 13545399426 17976137556 18060532568 23968183408 24659573314 27090798852 35952275112 36121065136 36989359971 49319146628 54181597704 71904550224 73978719942 98638293256 108363195408 147957439884 160287226541 197276586512 295914879768 320574453082 480861679623 591829759536 641148906164 961723359246 1282297812328 1923446718492 2564595624656 3846893436984 7693786873968