Search a number
-
+
742725239490 = 23251317477989113
BaseRepresentation
bin10101100111011011101…
…11111100001011000010
32122000002210120110000100
422303231313330023002
544132100130130430
61325111523303230
7104442265240653
oct12635567741302
92560083513010
10742725239490
11266a96042483
12bbb4121ab16
1355067002140
1427d3b7d552a
15144bee5c960
hexaceddfc2c2

742725239490 has 768 divisors, whose sum is σ = 2323244851200. Its totient is φ = 162954215424.

The previous prime is 742725239489. The next prime is 742725239497. The reversal of 742725239490 is 94932527247.

It is a happy number.

742725239490 is a `hidden beast` number, since 7 + 4 + 2 + 72 + 52 + 39 + 490 = 666.

It is not an unprimeable number, because it can be changed into a prime (742725239497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6572789674 + ... + 6572789786.

It is an arithmetic number, because the mean of its divisors is an integer number (3025058400).

Almost surely, 2742725239490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742725239490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161622425600).

742725239490 is an abundant number, since it is smaller than the sum of its proper divisors (1580519611710).

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

742725239490 is a wasteful number, since it uses less digits than its factorization.

742725239490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 742725239490 in words is "seven hundred forty-two billion, seven hundred twenty-five million, two hundred thirty-nine thousand, four hundred ninety".