Search a number
-
+
42069363336 = 23357111321663
BaseRepresentation
bin100111001011100001…
…111000101010001000
311000120212221002100000
4213023201320222020
51142124224111321
631154300243000
73016342455030
oct471341705210
9130525832300
1042069363336
1116929071380
1281a0b40460
133c75a04700
1420713608c0
1511634eb826
hex9cb878a88

42069363336 has 576 divisors, whose sum is σ = 159613009920. Its totient is φ = 10080495360.

The previous prime is 42069363307. The next prime is 42069363337. The reversal of 42069363336 is 63336396024.

42069363336 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 9 + 3 + 633 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42069363291 and 42069363300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42069363337) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25296441 + ... + 25298103.

It is an arithmetic number, because the mean of its divisors is an integer number (277105920).

Almost surely, 242069363336 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 42069363336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79806504960).

42069363336 is an abundant number, since it is smaller than the sum of its proper divisors (117543646584).

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

42069363336 is a wasteful number, since it uses less digits than its factorization.

42069363336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

The spelling of 42069363336 in words is "forty-two billion, sixty-nine million, three hundred sixty-three thousand, three hundred thirty-six".