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2067589137149 = 31276724104237
BaseRepresentation
bin11110000101100101111…
…010101000001011111101
321022122210211201202201222
4132011211322220023331
5232333410304342044
64221500510443125
7302243533456034
oct36054572501375
97278724652658
102067589137149
11727950190a18
122948675034a5
1311cc8538b853
147210121971b
1538bb1b1d8ee
hex1e165ea82fd

2067589137149 has 8 divisors (see below), whose sum is σ = 2135056985088. Its totient is φ = 2000169503280.

The previous prime is 2067589137083. The next prime is 2067589137203. The reversal of 2067589137149 is 9417319857602.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2067589137149 - 224 = 2067572359933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2067589137091 and 2067589137100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067589137349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11966342 + ... + 12137895.

It is an arithmetic number, because the mean of its divisors is an integer number (266882123136).

It is a 1-persistent number, because it is pandigital, but 2⋅2067589137149 = 4135178274298 is not.

Almost surely, 22067589137149 is an apocalyptic number.

It is an amenable number.

2067589137149 is a deficient number, since it is larger than the sum of its proper divisors (67467847939).

2067589137149 is a wasteful number, since it uses less digits than its factorization.

2067589137149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24107035.

The product of its (nonzero) digits is 22861440, while the sum is 62.

The spelling of 2067589137149 in words is "two trillion, sixty-seven billion, five hundred eighty-nine million, one hundred thirty-seven thousand, one hundred forty-nine".

Divisors: 1 31 2767 85777 24104237 747231347 66696423779 2067589137149