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80673083136 = 2833191075741
BaseRepresentation
bin100101100100001111…
…1011000111100000000
321201020020122020111000
41023020133120330000
52310204302130021
6101021040052000
75554103615052
oct1131037307400
9251206566430
1080673083136
1131238941438
1213775304000
1377b870b669
143c943078d2
152172625b26
hex12c87d8f00

80673083136 has 288 divisors, whose sum is σ = 253511596800. Its totient is φ = 25233223680.

The previous prime is 80673083123. The next prime is 80673083167. The reversal of 80673083136 is 63138037608.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 80673083091 and 80673083100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14049226 + ... + 14054966.

It is an arithmetic number, because the mean of its divisors is an integer number (880248600).

Almost surely, 280673083136 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 80673083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126755798400).

80673083136 is an abundant number, since it is smaller than the sum of its proper divisors (172838513664).

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

80673083136 is a wasteful number, since it uses less digits than its factorization.

80673083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 80673083136 in words is "eighty billion, six hundred seventy-three million, eighty-three thousand, one hundred thirty-six".