Search a number
-
+
422074162620 = 2232511220299551
BaseRepresentation
bin1100010010001011001…
…01001001110110111100
31111100110002000000110100
412021011211021312330
523403401441200440
6521522002041100
742331251121155
oct6110545116674
91440402000410
10422074162620
11153000952500
1269973949190
1330a55958726
14165ddb2a92c
15aea47c6230
hex6245949dbc

422074162620 has 216 divisors, whose sum is σ = 1408103686080. Its totient is φ = 102259872000.

The previous prime is 422074162597. The next prime is 422074162621. The reversal of 422074162620 is 26261470224.

422074162620 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 7 + 4 + 1 + 626 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422074162621) 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 71 ways as a sum of consecutive naturals, for example, 44186845 + ... + 44196395.

Almost surely, 2422074162620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422074162620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704051843040).

422074162620 is an abundant number, since it is smaller than the sum of its proper divisors (986029523460).

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

422074162620 is a wasteful number, since it uses less digits than its factorization.

422074162620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11617 (or 11601 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 422074162620 in words is "four hundred twenty-two billion, seventy-four million, one hundred sixty-two thousand, six hundred twenty".