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12533245302144 = 273717419267677
BaseRepresentation
bin1011011001100001111110…
…1000100101010110000000
31122101011111102012011000210
42312120133220211112000
53120321041244132034
642353405435314120
72432332334211120
oct266303750452600
948334442164023
1012533245302144
113aa2357260916
1214a503a5ab940
136cbb59373278
14314880268c80
1516b0425288e9
hexb661fa25580

12533245302144 has 128 divisors (see below), whose sum is σ = 38049678201600. Its totient is φ = 3580708276224.

The previous prime is 12533245302139. The next prime is 12533245302157. The reversal of 12533245302144 is 44120354233521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 46688434 + ... + 46956110.

It is an arithmetic number, because the mean of its divisors is an integer number (297263110950).

Almost surely, 212533245302144 is an apocalyptic number.

12533245302144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12533245302144 is an abundant number, since it is smaller than the sum of its proper divisors (25516432899456).

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

12533245302144 is a wasteful number, since it uses less digits than its factorization.

12533245302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285120 (or 285108 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 12533245302144 its reverse (44120354233521), we get a palindrome (56653599535665).

The spelling of 12533245302144 in words is "twelve trillion, five hundred thirty-three billion, two hundred forty-five million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 17419 34838 52257 69676 104514 121933 139352 209028 243866 267677 278704 365799 418056 487732 535354 557408 731598 803031 836112 975464 1070708 1114816 1463196 1606062 1672224 1873739 1950928 2141416 2229632 2926392 3212124 3344448 3747478 3901856 4282832 5621217 5852784 6424248 6688896 7494956 7803712 8565664 11242434 11705568 12848496 14989912 15607424 17131328 22484868 23411136 25696992 29979824 34262656 44969736 46822272 51393984 59959648 89939472 102787968 119919296 179878944 239838592 359757888 719515776 4662665663 9325331326 13987996989 18650662652 27975993978 32638659641 37301325304 55951987956 65277319282 74602650608 97915978923 111903975912 130554638564 149205301216 195831957846 223807951824 261109277128 298410602432 391663915692 447615903648 522218554256 596821204864 783327831384 895231807296 1044437108512 1566655662768 1790463614592 2088874217024 3133311325536 4177748434048 6266622651072 12533245302144