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13552711433360 = 2451183653284153
BaseRepresentation
bin1100010100110111110010…
…0011001111110010010000
31202222121220202120111110122
43011031330203033302100
53234021423111331420
644454010224445412
72566102552306241
oct305157443176220
952877822514418
1013552711433360
114355744316260
12162a733779868
13774027533738
1434bd51b06cc8
1518780cc02725
hexc537c8cfc90

13552711433360 has 160 divisors (see below), whose sum is σ = 34842154209408. Its totient is φ = 4861408808960.

The previous prime is 13552711433323. The next prime is 13552711433389. The reversal of 13552711433360 is 6333411725531.

13552711433360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 47553044 + ... + 47837196.

Almost surely, 213552711433360 is an apocalyptic number.

13552711433360 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 13552711433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17421077104704).

13552711433360 is an abundant number, since it is smaller than the sum of its proper divisors (21289442776048).

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

13552711433360 is a wasteful number, since it uses less digits than its factorization.

13552711433360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284913 (or 284907 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 44.

The spelling of 13552711433360 in words is "thirteen trillion, five hundred fifty-two billion, seven hundred eleven million, four hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 653 664 830 880 913 1306 1328 1660 1826 2612 3265 3320 3652 4565 5224 6530 6640 7183 7304 9130 10448 13060 14366 14608 18260 26120 28732 35915 36520 52240 54199 57464 71830 73040 108398 114928 143660 216796 270995 284153 287320 433592 541990 568306 574640 596189 867184 1083980 1136612 1192378 1420765 2167960 2273224 2384756 2841530 2980945 3125683 4335920 4546448 4769512 5683060 5961890 6251366 9539024 11366120 11923780 12502732 15628415 22732240 23584699 23847560 25005464 31256830 47169398 47695120 50010928 62513660 94338796 117923495 125027320 185551909 188677592 235846990 250054640 259431689 371103818 377355184 471693980 518863378 742207636 927759545 943387960 1037726756 1297158445 1484415272 1855519090 1886775920 2041070999 2075453512 2594316890 2968830544 3711038180 4082141998 4150907024 5188633780 7422076360 8164283996 10205354995 10377267560 14844152720 15400808447 16328567992 20410709990 20754535120 30801616894 32657135984 40821419980 61603233788 77004042235 81642839960 123206467576 154008084470 163285679920 169408892917 246412935152 308016168940 338817785834 616032337880 677635571668 847044464585 1232064675760 1355271143336 1694088929170 2710542286672 3388177858340 6776355716680 13552711433360