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12488660730 = 2335713717159
BaseRepresentation
bin10111010000110000…
…11101011011111010
31012020100121200212000
423220120131123322
5201034044120410
65423123201430
7621323602410
oct135030353372
935210550760
1012488660730
115329583717
122506516276
1312404795a0
148668a12b0
154d15e8dc0
hex2e861d6fa

12488660730 has 256 divisors, whose sum is σ = 41571532800. Its totient is φ = 2597495040.

The previous prime is 12488660719. The next prime is 12488660747. The reversal of 12488660730 is 3706688421.

12488660730 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 8 + 6 + 607 + 30 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1740891 + ... + 1748049.

It is an arithmetic number, because the mean of its divisors is an integer number (162388800).

Almost surely, 212488660730 is an apocalyptic number.

12488660730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12488660730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785766400).

12488660730 is an abundant number, since it is smaller than the sum of its proper divisors (29082872070).

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

12488660730 is a wasteful number, since it uses less digits than its factorization.

12488660730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12488660730 in words is "twelve billion, four hundred eighty-eight million, six hundred sixty thousand, seven hundred thirty".