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76323341556 = 223471129314183
BaseRepresentation
bin100011100010100111…
…0011100010011110100
321022000002211110210000
41013011032130103310
52222302233412211
655021254031300
75341235461530
oct1070516342364
9238002743700
1076323341556
112a40659a190
1212960648530
1372744c4587
1439a0752bc0
151eba818656
hex11c539c4f4

76323341556 has 960 divisors, whose sum is σ = 275393986560. Its totient is φ = 17853696000.

The previous prime is 76323341539. The next prime is 76323341569. The reversal of 76323341556 is 65514332367.

It is a happy number.

76323341556 is a `hidden beast` number, since 7 + 63 + 2 + 3 + 34 + 1 + 556 = 666.

It is a super-3 number, since 3×763233415563 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 919558291 + ... + 919558373.

It is an arithmetic number, because the mean of its divisors is an integer number (286868736).

Almost surely, 276323341556 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 76323341556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137696993280).

76323341556 is an abundant number, since it is smaller than the sum of its proper divisors (199070645004).

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

76323341556 is a wasteful number, since it uses less digits than its factorization.

76323341556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 76323341556 in words is "seventy-six billion, three hundred twenty-three million, three hundred forty-one thousand, five hundred fifty-six".