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80694144000 = 210345343181
BaseRepresentation
bin100101100100110111…
…1101110110000000000
321201021201021020120000
41023021233232300000
52310230200102000
6101023111320000
75554450623021
oct1131157566000
9251251236500
1080694144000
1131249816808
1213780380000
1377bcba3902
143c9702ac48
1521743d6000
hex12c9beec00

80694144000 has 880 divisors, whose sum is σ = 309422489376. Its totient is φ = 20901888000.

The previous prime is 80694143987. The next prime is 80694144017. The reversal of 80694144000 is 44149608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 445823910 + ... + 445824090.

Almost surely, 280694144000 is an apocalyptic number.

80694144000 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 80694144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154711244688).

80694144000 is an abundant number, since it is smaller than the sum of its proper divisors (228728345376).

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

80694144000 is a wasteful number, since it uses less digits than its factorization.

80694144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 80694144000 in words is "eighty billion, six hundred ninety-four million, one hundred forty-four thousand".