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1534065006320 = 2457112389104243
BaseRepresentation
bin10110010100101101011…
…001100101011011110000
312102122200121221202110022
4112110231121211123300
5200113231120200240
63132423441023012
7215555363255540
oct26245531453360
95378617852408
101534065006320
11541658780880
1220938b324a68
13b187aa10992
145436b90b320
1529d87cd99b5
hex1652d6656f0

1534065006320 has 160 divisors (see below), whose sum is σ = 4448700264960. Its totient is φ = 477945400320.

The previous prime is 1534065006311. The next prime is 1534065006359. The reversal of 1534065006320 is 236005604351.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14664119 + ... + 14768361.

It is an arithmetic number, because the mean of its divisors is an integer number (27804376656).

Almost surely, 21534065006320 is an apocalyptic number.

1534065006320 is a gapful number since it is divisible by the number (10) 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 1534065006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224350132480).

1534065006320 is an abundant number, since it is smaller than the sum of its proper divisors (2914635258640).

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

1534065006320 is a wasteful number, since it uses less digits than its factorization.

1534065006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106663 (or 106657 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 1534065006320 in words is "one trillion, five hundred thirty-four billion, sixty-five million, six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 2389 3080 4778 6160 9556 11945 16723 19112 23890 26279 33446 38224 47780 52558 66892 83615 95560 104243 105116 131395 133784 167230 183953 191120 208486 210232 262790 267568 334460 367906 416972 420464 521215 525580 668920 729701 735812 833944 919765 1042430 1051160 1146673 1337840 1459402 1471624 1667888 1839530 2084860 2102320 2293346 2918804 2943248 3648505 3679060 4169720 4586692 5733365 5837608 7297010 7358120 8026711 8339440 9173384 11466730 11675216 14594020 14716240 16053422 18346768 22933460 29188040 32106844 40133555 45866920 58376080 64213688 80267110 91733840 128427376 160534220 249036527 321068440 498073054 642136880 996146108 1245182635 1743255689 1992292216 2490365270 2739401797 3486511378 3984584432 4980730540 5478803594 6973022756 8716278445 9961461080 10957607188 13697008985 13946045512 17432556890 19175812579 19922922160 21915214376 27394017970 27892091024 34865113780 38351625158 43830428752 54788035940 69730227560 76703250316 95879062895 109576071880 139460455120 153406500632 191758125790 219152143760 306813001264 383516251580 767032503160 1534065006320