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1368161437920 = 253537435717681
BaseRepresentation
bin10011111010001100110…
…001101100100011100000
311211210110112010021001220
4103322030301230203200
5134403443312003140
62524305155455040
7200563213224624
oct23721461544340
94753415107056
101368161437920
11488263511372
121a11aa5b7480
139c02b66c824
144a30dd2b184
15258c7e11bd0
hex13e8cc6c8e0

1368161437920 has 192 divisors, whose sum is σ = 4427453411136. Its totient is φ = 354880880640.

The previous prime is 1368161437913. The next prime is 1368161437921. The reversal of 1368161437920 is 297341618631.

It is a super-2 number, since 2×13681614379202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368161437921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 77371480 + ... + 77389160.

It is an arithmetic number, because the mean of its divisors is an integer number (23059653183).

Almost surely, 21368161437920 is an apocalyptic number.

1368161437920 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 1368161437920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213726705568).

1368161437920 is an abundant number, since it is smaller than the sum of its proper divisors (3059291973216).

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

1368161437920 is a wasteful number, since it uses less digits than its factorization.

1368161437920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22093 (or 22085 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

It can be divided in two parts, 1368161 and 437920, that added together give a palindrome (1806081).

The spelling of 1368161437920 in words is "one trillion, three hundred sixty-eight billion, one hundred sixty-one million, four hundred thirty-seven thousand, nine hundred twenty".