Search a number
-
+
42200695048788 = 22327487156570259
BaseRepresentation
bin10011001100001100111010…
…11100000000101001010100
312112102100100222220200110200
421212012131130000221110
521012404010413030123
6225430422012420500
711613620364236103
oct1146063534005124
9175370328820420
1042200695048788
11124a023a204541
12489693b477730
131a7167c145873
14a5c74b49603a
154d2b0c1b4143
hex26619d700a54

42200695048788 has 36 divisors (see below), whose sum is σ = 106688227726080. Its totient is φ = 14065019416656.

The previous prime is 42200695048763. The next prime is 42200695048789. The reversal of 42200695048788 is 88784059600224.

42200695048788 is a `hidden beast` number, since 4 + 2 + 20 + 0 + 6 + 9 + 50 + 487 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200695048789) 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 11 ways as a sum of consecutive naturals, for example, 78015598 + ... + 78554661.

It is an arithmetic number, because the mean of its divisors is an integer number (2963561881280).

Almost surely, 242200695048788 is an apocalyptic number.

It is an amenable number.

42200695048788 is an abundant number, since it is smaller than the sum of its proper divisors (64487532677292).

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

42200695048788 is a wasteful number, since it uses less digits than its factorization.

42200695048788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156577756 (or 156577751 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 42200695048788 in words is "forty-two trillion, two hundred billion, six hundred ninety-five million, forty-eight thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 7487 14974 22461 29948 44922 67383 89844 134766 269532 156570259 313140518 469710777 626281036 939421554 1409132331 1878843108 2818264662 5636529324 1172241529133 2344483058266 3516724587399 4688966116532 7033449174798 10550173762197 14066898349596 21100347524394 42200695048788