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137820601760 = 255861378761
BaseRepresentation
bin1000000001011010111…
…1110111110110100000
3111011201221202222101212
42000112233313312200
54224224033224020
6143151445445252
712646215533402
oct2002657676640
9434657688355
10137820601760
11534a4155a76
1222863a10828
13ccc51c493a
146955dd4b72
1538b9723cc5
hex2016bf7da0

137820601760 has 24 divisors (see below), whose sum is σ = 325601172036. Its totient is φ = 55128240640.

The previous prime is 137820601729. The next prime is 137820601811. The reversal of 137820601760 is 67106028731.

137820601760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 123574747024 + 14245854736 = 351532^2 + 119356^2 .

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 3 ways as a sum of consecutive naturals, for example, 430689221 + ... + 430689540.

Almost surely, 2137820601760 is an apocalyptic number.

137820601760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137820601760 is an abundant number, since it is smaller than the sum of its proper divisors (187780570276).

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

137820601760 is an equidigital number, since it uses as much as digits as its factorization.

137820601760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861378776 (or 861378768 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 137820601760 in words is "one hundred thirty-seven billion, eight hundred twenty million, six hundred one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 861378761 1722757522 3445515044 4306893805 6891030088 8613787610 13782060176 17227575220 27564120352 34455150440 68910300880 137820601760