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8060073984 = 21132437287
BaseRepresentation
bin1111000000110101…
…01111100000000000
3202210201110011220200
413200122233200000
5113001334331414
63411443205200
7403510332654
oct74032574000
922721404820
108060073984
113466779976
12168b376800
139b5b17961
14566664a64
15322915109
hex1e06af800

8060073984 has 72 divisors (see below), whose sum is σ = 23279026680. Its totient is φ = 2686685184.

The previous prime is 8060073943. The next prime is 8060074027. The reversal of 8060073984 is 4893700608.

It is a happy number.

8060073984 is a `hidden beast` number, since 8 + 0 + 600 + 7 + 39 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 5 ways as a sum of consecutive naturals, for example, 200212 + ... + 237075.

It is an arithmetic number, because the mean of its divisors is an integer number (323319815).

Almost surely, 28060073984 is an apocalyptic number.

It is an amenable number.

8060073984 is an abundant number, since it is smaller than the sum of its proper divisors (15218952696).

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

8060073984 is a wasteful number, since it uses less digits than its factorization.

8060073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437315 (or 437292 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8060073984 is about 89777.9147897744. The cubic root of 8060073984 is about 2004.9936865036.

The spelling of 8060073984 in words is "eight billion, sixty million, seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 437287 874574 1311861 1749148 2623722 3498296 3935583 5247444 6996592 7871166 10494888 13993184 15742332 20989776 27986368 31484664 41979552 55972736 62969328 83959104 111945472 125938656 167918208 223890944 251877312 335836416 447781888 503754624 671672832 895563776 1007509248 1343345664 2015018496 2686691328 4030036992 8060073984