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126641506336 = 25131109727539
BaseRepresentation
bin111010111110001101…
…1000000100000100000
3110002212212100002102121
41311330123000200200
54033330211200321
6134102302554024
712102203020432
oct1657433004040
9402785302377
10126641506336
1149787913134
1220663b98914
13bc33152087
1461b5424652
1534630a9441
hex1d7c6c0820

126641506336 has 48 divisors (see below), whose sum is σ = 251466858720. Its totient is φ = 62777827840.

The previous prime is 126641506333. The next prime is 126641506349. The reversal of 126641506336 is 633605146621.

126641506336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1266415063362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126641506292 and 126641506301.

It is not an unprimeable number, because it can be changed into a prime (126641506333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4584855 + ... + 4612393.

It is an arithmetic number, because the mean of its divisors is an integer number (5238892890).

Almost surely, 2126641506336 is an apocalyptic number.

126641506336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126641506336 is a deficient number, since it is larger than the sum of its proper divisors (124825352384).

126641506336 is a wasteful number, since it uses less digits than its factorization.

126641506336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28777 (or 28769 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 126641506336 in words is "one hundred twenty-six billion, six hundred forty-one million, five hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 131 262 524 1048 1097 2096 2194 4192 4388 8776 17552 27539 35104 55078 110156 143707 220312 287414 440624 574828 881248 1149656 2299312 3607609 4598624 7215218 14430436 28860872 30210283 57721744 60420566 115443488 120841132 241682264 483364528 966729056 3957547073 7915094146 15830188292 31660376584 63320753168 126641506336