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6793137680 = 245764718749
BaseRepresentation
bin1100101001110011…
…10000111000010000
3122112102111011000212
412110321300320100
5102403020401210
63042024303252
7330224501060
oct62471607020
918472434025
106793137680
11297660497a
121397011b28
138434b82c4
144862ad3a0
1529b5a6805
hex194e70e10

6793137680 has 80 divisors (see below), whose sum is σ = 18079200000. Its totient is φ = 2325351936.

The previous prime is 6793137647. The next prime is 6793137691. The reversal of 6793137680 is 867313976.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×67931376802 = 92293439078871564800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352946 + ... + 371694.

It is an arithmetic number, because the mean of its divisors is an integer number (225990000).

Almost surely, 26793137680 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 6793137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039600000).

6793137680 is an abundant number, since it is smaller than the sum of its proper divisors (11286062320).

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

6793137680 is a wasteful number, since it uses less digits than its factorization.

6793137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19416 (or 19410 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The square root of 6793137680 is about 82420.4930827279. The cubic root of 6793137680 is about 1893.8989600901.

The spelling of 6793137680 in words is "six billion, seven hundred ninety-three million, one hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 647 1294 2588 3235 4529 5176 6470 9058 10352 12940 18116 18749 22645 25880 36232 37498 45290 51760 72464 74996 90580 93745 131243 149992 181160 187490 262486 299984 362320 374980 524972 656215 749960 1049944 1312430 1499920 2099888 2624860 5249720 10499440 12130603 24261206 48522412 60653015 84914221 97044824 121306030 169828442 194089648 242612060 339656884 424571105 485224120 679313768 849142210 970448240 1358627536 1698284420 3396568840 6793137680