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76144539204 = 22322115126089
BaseRepresentation
bin100011011101010010…
…0010111011001000100
321021112122101101001200
41012322210113121010
52221421000223304
654551425422500
75333634622056
oct1067244273104
9237478341050
1076144539204
112a324675348
121291079aa30
13724644c876
143984acb8d6
151ea9c99e39
hex11ba917644

76144539204 has 18 divisors (see below), whose sum is σ = 192476474190. Its totient is φ = 25381513056.

The previous prime is 76144539193. The next prime is 76144539217. The reversal of 76144539204 is 40293544167.

76144539204 is a `hidden beast` number, since 7 + 614 + 4 + 5 + 3 + 9 + 20 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55649753604 + 20494785600 = 235902^2 + 143160^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) 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 76144539204.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1057563009 + ... + 1057563080.

It is an arithmetic number, because the mean of its divisors is an integer number (10693137455).

Almost surely, 276144539204 is an apocalyptic number.

It is an amenable number.

76144539204 is an abundant number, since it is smaller than the sum of its proper divisors (116331934986).

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

76144539204 is a wasteful number, since it uses less digits than its factorization.

76144539204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115126099 (or 2115126094 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 76144539204 its sum of digits (45), we get a square (76144539249 = 2759432).

The spelling of 76144539204 in words is "seventy-six billion, one hundred forty-four million, five hundred thirty-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 2115126089 4230252178 6345378267 8460504356 12690756534 19036134801 25381513068 38072269602 76144539204