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80682998400 = 2735521943127
BaseRepresentation
bin100101100100100010…
…1001101101010000000
321201020221021222200000
41023021011031222000
52310214321422100
6101022032400000
75554254112404
oct1131105155200
9251227258600
1080682998400
11312434a3974
12137786a6000
1377ba7a0794
143c95769104
152173433900
hex12c914da80

80682998400 has 1152 divisors, whose sum is σ = 324112588800. Its totient is φ = 19752284160.

The previous prime is 80682998399. The next prime is 80682998401. The reversal of 80682998400 is 489928608.

It is an interprime number because it is at equal distance from previous prime (80682998399) and next prime (80682998401).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (80682998401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 635299137 + ... + 635299263.

Almost surely, 280682998400 is an apocalyptic number.

80682998400 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 80682998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162056294400).

80682998400 is an abundant number, since it is smaller than the sum of its proper divisors (243429590400).

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

80682998400 is a wasteful number, since it uses less digits than its factorization.

80682998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 80682998400 in words is "eighty billion, six hundred eighty-two million, nine hundred ninety-eight thousand, four hundred".