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12459430492740 = 2234571131674943
BaseRepresentation
bin1011010101001110111111…
…1011011011101001000100
31122010002222010121022110000
42311103233323123221010
53113113403201231430
642255441112001300
72424110205532140
oct265235773335104
948102863538400
1012459430492740
113a74018773000
12149287a090230
136c4bc47a785a
1431107ab48220
15169172073e60
hexb54efedba44

12459430492740 has 960 divisors, whose sum is σ = 49437154787328. Its totient is φ = 2572949111040.

The previous prime is 12459430492711. The next prime is 12459430492777. The reversal of 12459430492740 is 4729403495421.

12459430492740 is a `hidden beast` number, since 1 + 2 + 4 + 59 + 4 + 30 + 492 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2520618709 + ... + 2520623651.

Almost surely, 212459430492740 is an apocalyptic number.

12459430492740 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 12459430492740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24718577393664).

12459430492740 is an abundant number, since it is smaller than the sum of its proper divisors (36977724294588).

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

12459430492740 is a wasteful number, since it uses less digits than its factorization.

12459430492740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12459430492740 in words is "twelve trillion, four hundred fifty-nine billion, four hundred thirty million, four hundred ninety-two thousand, seven hundred forty".