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80463196800 = 273452761727
BaseRepresentation
bin100101011101111111…
…0101111001010000000
321200200121200220120000
41022323332233022000
52304242034244200
6100544141320000
75545644613410
oct1127376571200
9250617626500
1080463196800
1131140416758
1213716b66000
1377840a246c
143c744b0640
15215deb7300
hex12bbfaf280

80463196800 has 960 divisors, whose sum is σ = 345382477440. Its totient is φ = 18065203200.

The previous prime is 80463196789. The next prime is 80463196811. The reversal of 80463196800 is 869136408.

80463196800 is a `hidden beast` number, since 8 + 0 + 4 + 631 + 9 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80463196789) and next prime (80463196811).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110678037 + ... + 110678763.

It is an arithmetic number, because the mean of its divisors is an integer number (359773414).

Almost surely, 280463196800 is an apocalyptic number.

80463196800 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 80463196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172691238720).

80463196800 is an abundant number, since it is smaller than the sum of its proper divisors (264919280640).

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

80463196800 is a wasteful number, since it uses less digits than its factorization.

80463196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 80463196800 in words is "eighty billion, four hundred sixty-three million, one hundred ninety-six thousand, eight hundred".