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80202369024 = 211341373529
BaseRepresentation
bin100101010110001101…
…1110000100000000000
321200000102220111010000
41022230123300200000
52303223301302044
6100502223040000
75536326613521
oct1125433604000
9250012814100
1080202369024
1131017167a08
1213663740000
13774203b4bb
143c4b9b6848
152146144d69
hex12ac6f0800

80202369024 has 240 divisors, whose sum is σ = 241375434300. Its totient is φ = 26531463168.

The previous prime is 80202369007. The next prime is 80202369043. The reversal of 80202369024 is 42096320208.

It can be written as a sum of positive squares in 2 ways, for example, as 77239526400 + 2962842624 = 277920^2 + 54432^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 80202369024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22724892 + ... + 22728420.

Almost surely, 280202369024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80202369024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120687717150).

80202369024 is an abundant number, since it is smaller than the sum of its proper divisors (161173065276).

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

80202369024 is a wasteful number, since it uses less digits than its factorization.

80202369024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 80202369024 in words is "eighty billion, two hundred two million, three hundred sixty-nine thousand, twenty-four".