Search a number
-
+
75297923064 = 2332713171275323
BaseRepresentation
bin100011000100000011…
…0110001111111111000
321012100122022211001100
41012020012301333320
52213202232014224
654331423451400
75303644533330
oct1061006617770
9235318284040
1075297923064
1129a2a795091
1212715156b60
13713cc27880
1439044aa0c0
151e5a7b5ac9
hex11881b1ff8

75297923064 has 384 divisors, whose sum is σ = 267900272640. Its totient is φ = 18539974656.

The previous prime is 75297923021. The next prime is 75297923083. The reversal of 75297923064 is 46032979257.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75297923064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14143107 + ... + 14148429.

It is an arithmetic number, because the mean of its divisors is an integer number (697656960).

Almost surely, 275297923064 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 75297923064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133950136320).

75297923064 is an abundant number, since it is smaller than the sum of its proper divisors (192602349576).

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

75297923064 is a wasteful number, since it uses less digits than its factorization.

75297923064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 75297923064 in words is "seventy-five billion, two hundred ninety-seven million, nine hundred twenty-three thousand, sixty-four".