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126636023808 = 21333789919
BaseRepresentation
bin111010111110000011…
…0000110000000000000
3110002212111000112211000
41311330012012000000
54033322310230213
6134101545252000
712102105304410
oct1657406060000
9402774015730
10126636023808
1149784809018
1220662194000
13bc31c82788
1461b47d8640
153462874c73
hex1d7c186000

126636023808 has 448 divisors, whose sum is σ = 434083968000. Its totient is φ = 35736256512.

The previous prime is 126636023803. The next prime is 126636023821. The reversal of 126636023808 is 808320636621.

It is a happy number.

126636023808 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 3 + 602 + 38 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126636023803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137797173 + ... + 137798091.

Almost surely, 2126636023808 is an apocalyptic number.

126636023808 is a gapful number since it is divisible by the number (18) 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 126636023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217041984000).

126636023808 is an abundant number, since it is smaller than the sum of its proper divisors (307447944192).

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

126636023808 is an frugal number, since it uses more digits than its factorization.

126636023808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 126636023808 in words is "one hundred twenty-six billion, six hundred thirty-six million, twenty-three thousand, eight hundred eight".