Search a number
-
+
42036060528 = 243271137791297
BaseRepresentation
bin100111001001100010…
…110110000101110000
311000111120021010110200
4213021202312011300
51142042212414103
631151110355200
73015456422220
oct471142660560
9130446233420
1042036060528
11169112954a0
12819195bb00
133c6bb442c7
14206ab72080
15116061e0a3
hex9c98b6170

42036060528 has 480 divisors, whose sum is σ = 152659752960. Its totient is φ = 10480803840.

The previous prime is 42036060523. The next prime is 42036060551. The reversal of 42036060528 is 82506063024.

42036060528 is a `hidden beast` number, since 4 + 20 + 3 + 6 + 0 + 605 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42036060492 and 42036060501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42036060523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32409576 + ... + 32410872.

It is an arithmetic number, because the mean of its divisors is an integer number (318041152).

Almost surely, 242036060528 is an apocalyptic number.

42036060528 is a gapful number since it is divisible by the number (48) 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 42036060528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76329876480).

42036060528 is an abundant number, since it is smaller than the sum of its proper divisors (110623692432).

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

42036060528 is a wasteful number, since it uses less digits than its factorization.

42036060528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42036060528 in words is "forty-two billion, thirty-six million, sixty thousand, five hundred twenty-eight".