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80355110400 = 293452174797
BaseRepresentation
bin100101011010110001…
…0011010111000000000
321200102002022112220000
41022311202122320000
52304031402013100
6100525320520000
75543163111615
oct1126542327000
9250362275800
1080355110400
1131095401854
12136a6920000
13776788a106
143c63db650c
152154766900
hex12b589ae00

80355110400 has 1200 divisors, whose sum is σ = 324909579456. Its totient is φ = 19534970880.

The previous prime is 80355110393. The next prime is 80355110431. The reversal of 80355110400 is 401155308.

80355110400 is a `hidden beast` number, since 8 + 0 + 3 + 551 + 104 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 828403152 + ... + 828403248.

Almost surely, 280355110400 is an apocalyptic number.

80355110400 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 80355110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162454789728).

80355110400 is an abundant number, since it is smaller than the sum of its proper divisors (244554469056).

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

80355110400 is a wasteful number, since it uses less digits than its factorization.

80355110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 80355110400 its reverse (401155308), we get a palindrome (80756265708).

The spelling of 80355110400 in words is "eighty billion, three hundred fifty-five million, one hundred ten thousand, four hundred".