Search a number
-
+
80053401600 = 211345297199
BaseRepresentation
bin100101010001110001…
…1011111100000000000
321122122001121011020000
41022203203133200000
52302422132322400
6100435342120000
75532540454254
oct1124343374000
9248561534200
1080053401600
1130a50070537
1213621880000
13771a2115b3
143c35cba264
15213801b600
hex12a38df800

80053401600 has 720 divisors, whose sum is σ = 301062762000. Its totient is φ = 21021327360.

The previous prime is 80053401599. The next prime is 80053401601. The reversal of 80053401600 is 610435008.

80053401600 is a `hidden beast` number, since 8 + 0 + 0 + 53 + 4 + 0 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (80053401599) and next prime (80053401601).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80053401601) 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, 402278301 + ... + 402278499.

It is an arithmetic number, because the mean of its divisors is an integer number (418142725).

Almost surely, 280053401600 is an apocalyptic number.

80053401600 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 80053401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150531381000).

80053401600 is an abundant number, since it is smaller than the sum of its proper divisors (221009360400).

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

80053401600 is a wasteful number, since it uses less digits than its factorization.

80053401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 80053401600 its reverse (610435008), we get a palindrome (80663836608).

The spelling of 80053401600 in words is "eighty billion, fifty-three million, four hundred one thousand, six hundred".