Search a number
-
+
642117012 = 223316725763
BaseRepresentation
bin100110010001011…
…110110110010100
31122202020220221120
4212101132312110
52303340221022
6143414443540
721624622155
oct4621366624
91582226846
10642117012
112aa505019
1215b0635b0
13a3053bc4
14613cb92c
153b58bd5c
hex2645ed94

642117012 has 48 divisors (see below), whose sum is σ = 1569748992. Its totient is φ = 204035040.

The previous prime is 642116941. The next prime is 642117017. The reversal of 642117012 is 210711246.

642117012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642117017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12043 + ... + 37805.

It is an arithmetic number, because the mean of its divisors is an integer number (32703104).

Almost surely, 2642117012 is an apocalyptic number.

642117012 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

642117012 is an abundant number, since it is smaller than the sum of its proper divisors (927631980).

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

642117012 is a wasteful number, since it uses less digits than its factorization.

642117012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25868 (or 25866 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 642117012 is about 25340.0278610739. The cubic root of 642117012 is about 862.7230310850.

Adding to 642117012 its reverse (210711246), we get a palindrome (852828258).

The spelling of 642117012 in words is "six hundred forty-two million, one hundred seventeen thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 67 93 124 134 186 201 268 372 402 804 2077 4154 6231 8308 12462 24924 25763 51526 77289 103052 154578 309156 798653 1597306 1726121 2395959 3194612 3452242 4791918 5178363 6904484 9583836 10356726 20713452 53509751 107019502 160529253 214039004 321058506 642117012