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2036164242 = 2373710112973
BaseRepresentation
bin111100101011101…
…0110011010010010
312020220101212020110
41321113112122102
513132224223432
6534014022150
7101313052620
oct17127263222
95226355213
102036164242
119553a8372
12489aa7956
13265aca018
141545d0510
15bdb57dcc
hex795d6692

2036164242 has 64 divisors (see below), whose sum is σ = 4827573504. Its totient is φ = 560390400.

The previous prime is 2036164231. The next prime is 2036164259. The reversal of 2036164242 is 2424616302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150468 + ... + 163440.

It is an arithmetic number, because the mean of its divisors is an integer number (75430836).

Almost surely, 22036164242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2036164242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413786752).

2036164242 is an abundant number, since it is smaller than the sum of its proper divisors (2791409262).

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

2036164242 is a wasteful number, since it uses less digits than its factorization.

2036164242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13123.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2036164242 is about 45123.8766286763. The cubic root of 2036164242 is about 1267.4697472248.

The spelling of 2036164242 in words is "two billion, thirty-six million, one hundred sixty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 101 111 202 222 259 303 518 606 707 777 1414 1554 2121 3737 4242 7474 11211 12973 22422 25946 26159 38919 52318 77838 78477 90811 156954 181622 272433 480001 544866 960002 1310273 1440003 2620546 2880006 3360007 3930819 6720014 7861638 9171911 10080021 18343822 20160042 27515733 48480101 55031466 96960202 145440303 290880606 339360707 678721414 1018082121 2036164242