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2753709696 = 2734475651
BaseRepresentation
bin1010010000100010…
…0100011010000000
321002220120221120000
42210020210122000
521114422202241
61133125320000
7125145101103
oct24410443200
97086527500
102753709696
111193440941
1264a266000
1334b67052a
141c1a1473a
15111b43eb6
hexa4224680

2753709696 has 160 divisors (see below), whose sum is σ = 8370838080. Its totient is φ = 898214400.

The previous prime is 2753709689. The next prime is 2753709697. The reversal of 2753709696 is 6969073572.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2753709697) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 484471 + ... + 490121.

It is an arithmetic number, because the mean of its divisors is an integer number (52317738).

Almost surely, 22753709696 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 2753709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185419040).

2753709696 is an abundant number, since it is smaller than the sum of its proper divisors (5617128384).

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

2753709696 is an equidigital number, since it uses as much as digits as its factorization.

2753709696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 2753709696 is about 52475.8010515323. The cubic root of 2753709696 is about 1401.6493649342.

The spelling of 2753709696 in words is "two billion, seven hundred fifty-three million, seven hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 216 282 288 324 376 384 423 432 564 576 648 752 846 864 1128 1152 1269 1296 1504 1692 1728 2256 2538 2592 3008 3384 3456 3807 4512 5076 5184 5651 6016 6768 7614 9024 10152 10368 11302 13536 15228 16953 18048 20304 22604 27072 30456 33906 40608 45208 50859 54144 60912 67812 81216 90416 101718 121824 135624 152577 162432 180832 203436 243648 265597 271248 305154 361664 406872 457731 487296 531194 542496 610308 723328 796791 813744 915462 1062388 1084992 1220616 1593582 1627488 1830924 2124776 2169984 2390373 2441232 3187164 3254976 3661848 4249552 4780746 4882464 6374328 6509952 7171119 7323696 8499104 9561492 9764928 12748656 14342238 14647392 16998208 19122984 19529856 21513357 25497312 28684476 29294784 33996416 38245968 43026714 50994624 57368952 58589568 76491936 86053428 101989248 114737904 152983872 172106856 229475808 305967744 344213712 458951616 688427424 917903232 1376854848 2753709696