Search a number
-
+
42163352960 = 2751931373023
BaseRepresentation
bin100111010001001000…
…011011010110000000
311000211102210020212012
4213101020123112000
51142322304243320
631211454552052
73021563405201
oct472110332600
9130742706765
1042163352960
1116977128153
128208508628
133c8c322581
14207da295a8
15116b8b54c5
hex9d121b580

42163352960 has 256 divisors, whose sum is σ = 112521830400. Its totient is φ = 15039406080.

The previous prime is 42163352947. The next prime is 42163352963. The reversal of 42163352960 is 6925336124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42163352963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13946009 + ... + 13949031.

It is an arithmetic number, because the mean of its divisors is an integer number (439538400).

Almost surely, 242163352960 is an apocalyptic number.

42163352960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42163352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56260915200).

42163352960 is an abundant number, since it is smaller than the sum of its proper divisors (70358477440).

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

42163352960 is a wasteful number, since it uses less digits than its factorization.

42163352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 42163352960 in words is "forty-two billion, one hundred sixty-three million, three hundred fifty-two thousand, nine hundred sixty".