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76314345552 = 24322323041771
BaseRepresentation
bin100011100010010110…
…0001000000001010000
321021222110220102120200
41013010230020001100
52222242433024202
655020333135200
75341066143234
oct1070454100120
9237873812520
1076314345552
112a401505375
121295962a500
1372726949b3
14399d4905c4
151eb9b3ce1c
hex11c4b08050

76314345552 has 60 divisors (see below), whose sum is σ = 222860018784. Its totient is φ = 24332109120.

The previous prime is 76314345551. The next prime is 76314345563. The reversal of 76314345552 is 25554341367.

76314345552 is a `hidden beast` number, since 7 + 6 + 3 + 143 + 455 + 52 = 666.

It is a super-3 number, since 3×763143455523 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76314345498 and 76314345507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76314345551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11517574 + ... + 11524197.

Almost surely, 276314345552 is an apocalyptic number.

76314345552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76314345552 is an abundant number, since it is smaller than the sum of its proper divisors (146545673232).

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

76314345552 is a wasteful number, since it uses less digits than its factorization.

76314345552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23041808 (or 23041799 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 76314345552 in words is "seventy-six billion, three hundred fourteen million, three hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 23041771 46083542 69125313 92167084 138250626 184334168 207375939 276501252 368668336 414751878 529960733 553002504 829503756 1059921466 1106005008 1589882199 1659007512 2119842932 3179764398 3318015024 4239685864 4769646597 6359528796 8479371728 9539293194 12719057592 19078586388 25438115184 38157172776 76314345552