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80406209520 = 243357131273221
BaseRepresentation
bin100101011100010010…
…1010110001111110000
321200112122110122201000
41022320211112033300
52304132442201040
6100534344042000
75544353334630
oct1127045261760
9250478418630
1080406209520
113111123332a
12136bba63300
13777533b890
143c6aab86c0
152158eac130
hex12b89563f0

80406209520 has 640 divisors, whose sum is σ = 343658004480. Its totient is φ = 16826019840.

The previous prime is 80406209467. The next prime is 80406209539. The reversal of 80406209520 is 2590260408.

It is a happy number.

80406209520 is a `hidden beast` number, since 8 + 0 + 4 + 0 + 620 + 9 + 5 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24961510 + ... + 24964730.

It is an arithmetic number, because the mean of its divisors is an integer number (536965632).

Almost surely, 280406209520 is an apocalyptic number.

80406209520 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 80406209520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171829002240).

80406209520 is an abundant number, since it is smaller than the sum of its proper divisors (263251794960).

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

80406209520 is a wasteful number, since it uses less digits than its factorization.

80406209520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 80406209520 its reverse (2590260408), we get a palindrome (82996469928).

The spelling of 80406209520 in words is "eighty billion, four hundred six million, two hundred nine thousand, five hundred twenty".