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80016610752 = 2635131731751
BaseRepresentation
bin100101010000101011…
…1001001010111000000
321122112111100222200000
41022201113021113000
52302333223021002
6100431545400000
75531612653311
oct1124127112700
9248474328600
1080016610752
1130a31321a81
1213611499000
1377126cc670
143c31060608
152134ba061c
hex12a15c95c0

80016610752 has 672 divisors, whose sum is σ = 280332509184. Its totient is φ = 22394880000.

The previous prime is 80016610727. The next prime is 80016610753. The reversal of 80016610752 is 25701661008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80016610753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106546377 + ... + 106547127.

It is an arithmetic number, because the mean of its divisors is an integer number (417161472).

Almost surely, 280016610752 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 80016610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140166254592).

80016610752 is an abundant number, since it is smaller than the sum of its proper divisors (200315898432).

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

80016610752 is a wasteful number, since it uses less digits than its factorization.

80016610752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 80016610752 in words is "eighty billion, sixteen million, six hundred ten thousand, seven hundred fifty-two".