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6748734160 = 245761919469
BaseRepresentation
bin1100100100100000…
…11000001011010000
3122102022221012212001
412102100120023100
5102310133443120
63033400443344
7326145202540
oct62220301320
918368835761
106748734160
112953536953
121384179554
1383723c32c
14480431320
15297734e0a
hex1924182d0

6748734160 has 80 divisors (see below), whose sum is σ = 17962243200. Its totient is φ = 2309995008.

The previous prime is 6748734071. The next prime is 6748734197. The reversal of 6748734160 is 614378476.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6748734160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336906 + ... + 356374.

It is an arithmetic number, because the mean of its divisors is an integer number (224528040).

Almost surely, 26748734160 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 6748734160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981121600).

6748734160 is an abundant number, since it is smaller than the sum of its proper divisors (11213509040).

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

6748734160 is a wasteful number, since it uses less digits than its factorization.

6748734160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20108 (or 20102 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 6748734160 is about 82150.6796076575. The cubic root of 6748734160 is about 1889.7634297928.

The spelling of 6748734160 in words is "six billion, seven hundred forty-eight million, seven hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 619 1238 2476 3095 4333 4952 6190 8666 9904 12380 17332 19469 21665 24760 34664 38938 43330 49520 69328 77876 86660 97345 136283 155752 173320 194690 272566 311504 346640 389380 545132 681415 778760 1090264 1362830 1557520 2180528 2725660 5451320 10902640 12051311 24102622 48205244 60256555 84359177 96410488 120513110 168718354 192820976 241026220 337436708 421795885 482052440 674873416 843591770 964104880 1349746832 1687183540 3374367080 6748734160