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80147676960 = 25335135326927
BaseRepresentation
bin100101010100100101…
…1000111111100100000
321122212121222211201000
41022221023013330200
52303120301130320
6100452550512000
75535064004451
oct1125113077440
9248777884630
1080147676960
1130a99301a5a
1213649365600
1377338cc530
143c4461b128
15214143ec90
hex12a92c7f20

80147676960 has 384 divisors, whose sum is σ = 307806428160. Its totient is φ = 19355701248.

The previous prime is 80147676941. The next prime is 80147676979. The reversal of 80147676960 is 6967674108.

It is a happy number.

80147676960 is a `hidden beast` number, since 80 + 1 + 476 + 7 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80147676941) and next prime (80147676979).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 80147676897 and 80147676906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963017 + ... + 2989943.

It is an arithmetic number, because the mean of its divisors is an integer number (801579240).

Almost surely, 280147676960 is an apocalyptic number.

80147676960 is a gapful number since it is divisible by the number (80) 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 80147676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153903214080).

80147676960 is an abundant number, since it is smaller than the sum of its proper divisors (227658751200).

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

80147676960 is a wasteful number, since it uses less digits than its factorization.

80147676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27017 (or 27003 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 80147676960 in words is "eighty billion, one hundred forty-seven million, six hundred seventy-six thousand, nine hundred sixty".