Search a number
-
+
73542075422732 = 227418930711172099
BaseRepresentation
bin10000101110001011011001…
…010010000001100000001100
3100122101112221200102200202022
4100232023121102001200030
534114403132302011412
6420224432452345312
721330145120662440
oct2056133122014014
9318345850380668
1073542075422732
112148402337a134
1282b8b44315238
133205cac6cb0c7
141423653a3c820
15877ee8b64a72
hex42e2d948180c

73542075422732 has 192 divisors, whose sum is σ = 153070549632000. Its totient is φ = 30263211601920.

The previous prime is 73542075422731. The next prime is 73542075422759. The reversal of 73542075422732 is 23722457024537.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73542075422731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35036719019 + ... + 35036721117.

It is an arithmetic number, because the mean of its divisors is an integer number (797242446000).

Almost surely, 273542075422732 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 73542075422732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76535274816000).

73542075422732 is an abundant number, since it is smaller than the sum of its proper divisors (79528474209268).

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

73542075422732 is a wasteful number, since it uses less digits than its factorization.

73542075422732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 53.

The spelling of 73542075422732 in words is "seventy-three trillion, five hundred forty-two billion, seventy-five million, four hundred twenty-two thousand, seven hundred thirty-two".