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80374809600 = 210345283467
BaseRepresentation
bin100101011011010110…
…1100100010000000000
321200110110101101010000
41022312231210100000
52304101422401400
6100531303040000
75543522415651
oct1126655442000
9250413341100
1080374809600
11310a5537088
12136b1440000
13776b996647
143c66863528
152156358600
hex12b6b64400

80374809600 has 660 divisors, whose sum is σ = 301849211664. Its totient is φ = 21129707520.

The previous prime is 80374809589. The next prime is 80374809607. The reversal of 80374809600 is 690847308.

It is a happy number.

80374809600 is a `hidden beast` number, since 8 + 0 + 37 + 4 + 8 + 0 + 9 + 600 = 666.

It is a super-2 number, since 2×803748096002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (80374809607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 172108567 + ... + 172109033.

Almost surely, 280374809600 is an apocalyptic number.

80374809600 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 80374809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150924605832).

80374809600 is an abundant number, since it is smaller than the sum of its proper divisors (221474402064).

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

80374809600 is a wasteful number, since it uses less digits than its factorization.

80374809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 80374809600 in words is "eighty billion, three hundred seventy-four million, eight hundred nine thousand, six hundred".