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13454558820 = 223251932511543
BaseRepresentation
bin11001000011111010…
…00100011001100100
31021201200010101221100
430201331010121210
5210023331340240
610103025520100
7654262602003
oct144175043144
937650111840
1013454558820
1157848251aa
122735aa3030
131365606711
14918c92c3a
1553b2e0e30
hex321f44664

13454558820 has 144 divisors (see below), whose sum is σ = 41213757312. Its totient is φ = 3552768000.

The previous prime is 13454558801. The next prime is 13454558849. The reversal of 13454558820 is 2885545431.

13454558820 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 45 + 588 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8718969 + ... + 8720511.

It is an arithmetic number, because the mean of its divisors is an integer number (286206648).

Almost surely, 213454558820 is an apocalyptic number.

13454558820 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 13454558820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20606878656).

13454558820 is an abundant number, since it is smaller than the sum of its proper divisors (27759198492).

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

13454558820 is a wasteful number, since it uses less digits than its factorization.

13454558820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 13454558820 in words is "thirteen billion, four hundred fifty-four million, five hundred fifty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 251 386 502 579 753 772 965 1004 1158 1255 1506 1543 1737 1930 2259 2316 2510 2895 3012 3086 3474 3765 3860 4518 4629 5020 5790 6172 6948 7530 7715 8685 9036 9258 11295 11580 13887 15060 15430 17370 18516 22590 23145 27774 30860 34740 45180 46290 48443 55548 69435 92580 96886 138870 145329 193772 242215 277740 290658 297799 387293 435987 484430 581316 595598 726645 774586 871974 893397 968860 1161879 1191196 1453290 1488995 1549172 1743948 1786794 1936465 2179935 2323758 2680191 2906580 2977990 3485637 3573588 3872930 4359870 4466985 4647516 5360382 5809395 5955980 6971274 7745860 8719740 8933970 10720764 11618790 13400955 13942548 17428185 17867940 23237580 26801910 34856370 53603820 69712740 74747549 149495098 224242647 298990196 373737745 448485294 672727941 747475490 896970588 1121213235 1345455882 1494950980 2242426470 2690911764 3363639705 4484852940 6727279410 13454558820