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80503597440 = 2733572313067
BaseRepresentation
bin100101011111001100…
…0110110100110000000
321200210102201110211000
41022332120312212000
52304332410104230
6100552143252000
75546645200500
oct1127630664600
9250712643730
1080503597440
1131161200312
12137285aa000
13778c579476
143c799c9a00
1521627e7b60
hex12be636980

80503597440 has 768 divisors, whose sum is σ = 342477158400. Its totient is φ = 17801441280.

The previous prime is 80503597439. The next prime is 80503597469. The reversal of 80503597440 is 4479530508.

80503597440 is a `hidden beast` number, since 8 + 0 + 50 + 3 + 597 + 4 + 4 + 0 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26246787 + ... + 26249853.

It is an arithmetic number, because the mean of its divisors is an integer number (445933800).

Almost surely, 280503597440 is an apocalyptic number.

80503597440 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 80503597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171238579200).

80503597440 is an abundant number, since it is smaller than the sum of its proper divisors (261973560960).

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

80503597440 is a wasteful number, since it uses less digits than its factorization.

80503597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 80503597440 in words is "eighty billion, five hundred three million, five hundred ninety-seven thousand, four hundred forty".