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80932756608 = 2733118832411
BaseRepresentation
bin100101101011111110…
…1111101110010000000
321201220100021000112000
41023113331331302000
52311222241202413
6101102513504000
75563406036424
oct1132775756200
9251810230460
1080932756608
1131361481a10
1213828272000
13782a45a0c2
143cba9c0b84
15218a31b073
hex12d7f7dc80

80932756608 has 256 divisors, whose sum is σ = 260982259200. Its totient is φ = 24487142400.

The previous prime is 80932756601. The next prime is 80932756699. The reversal of 80932756608 is 80665723908.

It is a happy number.

80932756608 is a `hidden beast` number, since 8 + 0 + 9 + 3 + 27 + 5 + 6 + 608 = 666.

It is a super-3 number, since 3×809327566083 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (80932756601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33566923 + ... + 33569333.

It is an arithmetic number, because the mean of its divisors is an integer number (1019461950).

Almost surely, 280932756608 is an apocalyptic number.

80932756608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80932756608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130491129600).

80932756608 is an abundant number, since it is smaller than the sum of its proper divisors (180049502592).

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

80932756608 is a wasteful number, since it uses less digits than its factorization.

80932756608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 80932756608 in words is "eighty billion, nine hundred thirty-two million, seven hundred fifty-six thousand, six hundred eight".