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80063010144 = 2535131746589
BaseRepresentation
bin100101010010000100…
…0001001010101100000
321122122201200022200000
41022210020021111200
52302432112311034
6100440324100000
75533015233435
oct1124410112540
9248581608600
1080063010144
1130a55533587
1213624b34600
13771c1c6c20
143c3729bb8c
152138cb8599
hex12a4209560

80063010144 has 288 divisors, whose sum is σ = 269237273760. Its totient is φ = 23185170432.

The previous prime is 80063010113. The next prime is 80063010163. The reversal of 80063010144 is 44101036008.

80063010144 is a `hidden beast` number, since 8 + 0 + 0 + 630 + 10 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1695202 + ... + 1741790.

It is an arithmetic number, because the mean of its divisors is an integer number (934851645).

Almost surely, 280063010144 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 80063010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134618636880).

80063010144 is an abundant number, since it is smaller than the sum of its proper divisors (189174263616).

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

80063010144 is a wasteful number, since it uses less digits than its factorization.

80063010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46644 (or 46624 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 80063010144 in words is "eighty billion, sixty-three million, ten thousand, one hundred forty-four".