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80466553440 = 253757213192
BaseRepresentation
bin100101011110000101…
…1100010101001100000
321200200212000110000000
41022330023202221200
52304243414202230
6100544341300000
75546015263500
oct1127413425140
9250625013000
1080466553440
11311422a9639
1213718104600
1377849a9240
143c74b05a00
15215e42bb60
hex12bc2e2a60

80466553440 has 1728 divisors, whose sum is σ = 376958473920. Its totient is φ = 16084002816.

The previous prime is 80466553439. The next prime is 80466553477. The reversal of 80466553440 is 4435566408.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4235081751 + ... + 4235081769.

It is an arithmetic number, because the mean of its divisors is an integer number (218147265).

Almost surely, 280466553440 is an apocalyptic number.

80466553440 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 80466553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188479236960).

80466553440 is an abundant number, since it is smaller than the sum of its proper divisors (296491920480).

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

80466553440 is a wasteful number, since it uses less digits than its factorization.

80466553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 80466553440 in words is "eighty billion, four hundred sixty-six million, five hundred fifty-three thousand, four hundred forty".