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80302944000 = 283535031663
BaseRepresentation
bin100101011001001101…
…1011010111100000000
321200021110011020001010
41022302123122330000
52303430023202000
6100520214440520
75541660522156
oct1126233327400
9250243136033
1080302944000
1131068a11424
1213691363140
137759b23916
143c5b0b73d6
15214edaed50
hex12b26daf00

80302944000 has 288 divisors, whose sum is σ = 267417206784. Its totient is φ = 21358694400.

The previous prime is 80302943993. The next prime is 80302944053. The reversal of 80302944000 is 44920308.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48287169 + ... + 48288831.

It is an arithmetic number, because the mean of its divisors is an integer number (928531968).

Almost surely, 280302944000 is an apocalyptic number.

80302944000 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 80302944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133708603392).

80302944000 is an abundant number, since it is smaller than the sum of its proper divisors (187114262784).

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

80302944000 is a wasteful number, since it uses less digits than its factorization.

80302944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 80302944000 in words is "eighty billion, three hundred two million, nine hundred forty-four thousand".