Search a number
-
+
495134082432 = 273211296313187
BaseRepresentation
bin1110011010010000100…
…10101000010110000000
31202100000202010111012100
413031020102220112000
531103013311114212
61015243401430400
750525612154633
oct7151022502600
91670022114170
10495134082432
11180a92310620
127bb6349b400
13378ca006c02
1419d70ca5c1a
15cd2d864bdc
hex73484a8580

495134082432 has 192 divisors, whose sum is σ = 1554969648960. Its totient is φ = 149978618880.

The previous prime is 495134082427. The next prime is 495134082463. The reversal of 495134082432 is 234280431594.

495134082432 is a `hidden beast` number, since 4 + 9 + 5 + 134 + 0 + 82 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37540543 + ... + 37553729.

It is an arithmetic number, because the mean of its divisors is an integer number (8098800255).

Almost surely, 2495134082432 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 495134082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777484824480).

495134082432 is an abundant number, since it is smaller than the sum of its proper divisors (1059835566528).

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

495134082432 is a wasteful number, since it uses less digits than its factorization.

495134082432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16181 (or 16166 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 495134082432 in words is "four hundred ninety-five billion, one hundred thirty-four million, eighty-two thousand, four hundred thirty-two".