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13454531760 = 2435311180259
BaseRepresentation
bin11001000011111001…
…11101110010110000
31021201200002000211010
430201330331302300
5210023330004020
610103025150520
7654262430055
oct144174756260
937650060733
1013454531760
11578480693a
122735a8b440
1313655c72c7
14918c8702c
1553b2d7de0
hex321f3dcb0

13454531760 has 80 divisors (see below), whose sum is σ = 41843393280. Its totient is φ = 3576318720.

The previous prime is 13454531747. The next prime is 13454531771. The reversal of 13454531760 is 6713545431.

It is a tau number, because it is divible by the number of its divisors (80).

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, 15490 + ... + 164769.

It is an arithmetic number, because the mean of its divisors is an integer number (523042416).

Almost surely, 213454531760 is an apocalyptic number.

13454531760 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 13454531760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921696640).

13454531760 is an abundant number, since it is smaller than the sum of its proper divisors (28388861520).

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

13454531760 is a wasteful number, since it uses less digits than its factorization.

13454531760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180586 (or 180580 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 13454531760 in words is "thirteen billion, four hundred fifty-four million, five hundred thirty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 12440 14928 18660 24880 37320 74640 180259 360518 540777 721036 901295 1081554 1442072 1802590 2163108 2703885 2884144 3605180 4326216 5407770 7210360 8652432 10815540 14420720 21631080 43262160 56060549 112121098 168181647 224242196 280302745 336363294 448484392 560605490 672726588 840908235 896968784 1121210980 1345453176 1681816470 2242421960 2690906352 3363632940 4484843920 6727265880 13454531760