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20042086170 = 2354154130119
BaseRepresentation
bin10010101010100110…
…011111011100011010
31220201202201110121210
4102222212133130122
5312021233224140
613112431243550
71306442631051
oct225246373432
956652643553
1020042086170
118555264a87
123a740795b6
131b75321bb2
14d81b1d398
157c47d0d80
hex4aa99f71a

20042086170 has 64 divisors (see below), whose sum is σ = 49366920960. Its totient is φ = 5204390400.

The previous prime is 20042086159. The next prime is 20042086171. The reversal of 20042086170 is 7168024002.

It is a super-3 number, since 3×200420861703 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20042086171) 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, 650371 + ... + 680489.

It is an arithmetic number, because the mean of its divisors is an integer number (771358140).

Almost surely, 220042086170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042086170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24683460480).

20042086170 is an abundant number, since it is smaller than the sum of its proper divisors (29324834790).

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

20042086170 is a wasteful number, since it uses less digits than its factorization.

20042086170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30711.

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 20042086170 in words is "twenty billion, forty-two million, eighty-six thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 541 615 1082 1230 1623 2705 3246 5410 8115 16230 22181 30119 44362 60238 66543 90357 110905 133086 150595 180714 221810 301190 332715 451785 665430 903570 1234879 2469758 3704637 6174395 7409274 12348790 16294379 18523185 32588758 37046370 48883137 81471895 97766274 162943790 244415685 488831370 668069539 1336139078 2004208617 3340347695 4008417234 6680695390 10021043085 20042086170