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78004522464 = 2531173867919
BaseRepresentation
bin100100010100101101…
…1101000110111100000
321110100021021022102120
41020221123220313200
52234223124204324
655500151344240
75431011333561
oct1105133506740
9243307238376
1078004522464
11300995792a0
121314b682080
1374818b208b
143abdb3a168
152068201179
hex12296e8de0

78004522464 has 48 divisors (see below), whose sum is σ = 223376590080. Its totient is φ = 23637733760.

The previous prime is 78004522459. The next prime is 78004522487. The reversal of 78004522464 is 46422540087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36932904 + ... + 36935015.

It is an arithmetic number, because the mean of its divisors is an integer number (4653678960).

Almost surely, 278004522464 is an apocalyptic number.

It is an amenable number.

78004522464 is an abundant number, since it is smaller than the sum of its proper divisors (145372067616).

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

78004522464 is a wasteful number, since it uses less digits than its factorization.

78004522464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73867943 (or 73867935 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 78004522464 in words is "seventy-eight billion, four million, five hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 73867919 147735838 221603757 295471676 443207514 590943352 812547109 886415028 1181886704 1625094218 1772830056 2363773408 2437641327 3250188436 3545660112 4875282654 6500376872 7091320224 9750565308 13000753744 19501130616 26001507488 39002261232 78004522464