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3635428245344 = 2571511013310607
BaseRepresentation
bin110100111001110000011…
…010001011111101100000
3110212112200020121200001022
4310321300122023331200
5434030324112322334
611422032004025012
7523436205140120
oct64716032137540
913775606550038
103635428245344
11118185a518385
124a86a1692168
13204a86331a9c
14c7d544c0c80
1564874a3482e
hex34e7068bf60

3635428245344 has 96 divisors (see below), whose sum is σ = 8235472766976. Its totient is φ = 1547423884800.

The previous prime is 3635428245301. The next prime is 3635428245367. The reversal of 3635428245344 is 4435428245363.

3635428245344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 342733289 + ... + 342743895.

It is an arithmetic number, because the mean of its divisors is an integer number (85786174656).

Almost surely, 23635428245344 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 3635428245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117736383488).

3635428245344 is an abundant number, since it is smaller than the sum of its proper divisors (4600044521632).

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

3635428245344 is a wasteful number, since it uses less digits than its factorization.

3635428245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20908 (or 20900 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 53.

The spelling of 3635428245344 in words is "three trillion, six hundred thirty-five billion, four hundred twenty-eight million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 604 1057 1208 2114 2416 4228 4832 8456 10133 10607 16912 20266 21214 33824 40532 42428 70931 74249 81064 84856 141862 148498 162128 169712 283724 296996 324256 339424 567448 593992 1134896 1187984 1530083 1601657 2269792 2375968 3060166 3203314 6120332 6406628 10710581 11211599 12240664 12813256 21421162 22423198 24481328 25626512 42842324 44846396 48962656 51253024 85684648 89692792 107480731 171369296 179385584 214961462 342738592 358771168 429922924 752365117 859845848 1504730234 1719691696 3009460468 3439383392 6018920936 12037841872 16229590381 24075683744 32459180762 64918361524 113607132667 129836723048 227214265334 259673446096 454428530668 519346892192 908857061336 1817714122672 3635428245344