Search a number
-
+
75228232896 = 263471313653
BaseRepresentation
bin100011000001111110…
…0111011110011000000
321012011210012012010000
41012003330323303000
52213031411423041
654320454040000
75302140300105
oct1060374736300
9235153165100
1075228232896
11299a4415903
12126b5949000
13712b66709b
1438d9128aac
151e545ebbb6
hex1183f3bcc0

75228232896 has 280 divisors, whose sum is σ = 227210806944. Its totient is φ = 24606167040.

The previous prime is 75228232861. The next prime is 75228232897. The reversal of 75228232896 is 69823282257.

75228232896 is a `hidden beast` number, since 7 + 5 + 228 + 2 + 328 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (75228232897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115203706 + ... + 115204358.

Almost surely, 275228232896 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 75228232896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113605403472).

75228232896 is an abundant number, since it is smaller than the sum of its proper divisors (151982574048).

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

75228232896 is a wasteful number, since it uses less digits than its factorization.

75228232896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1042 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 75228232896 in words is "seventy-five billion, two hundred twenty-eight million, two hundred thirty-two thousand, eight hundred ninety-six".