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8018422949124 = 223272674212
BaseRepresentation
bin111010010101110111101…
…0000000110010100000100
31001101112221200102012000100
41310223233100012110010
52022333212233332444
625015340155444100
71455211665334200
oct164535720062404
931345850365010
108018422949124
112611659795625
12a96035756630
1346219863c8a3
141da145325b00
15dd89e516e69
hex74aef406504

8018422949124 has 81 divisors (see below), whose sum is σ = 23578331484981. Its totient is φ = 2290944005280.

The previous prime is 8018422949071. The next prime is 8018422949149. The reversal of 8018422949124 is 4219492248108.

The square root of 8018422949124 is 2831682.

It is a perfect power (a square), and thus also a powerful number.

8018422949124 is a `hidden beast` number, since 8 + 0 + 1 + 8 + 422 + 94 + 9 + 124 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4885947734724 + 3132475214400 = 2210418^2 + 1769880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118896934 + ... + 118964354.

Almost surely, 28018422949124 is an apocalyptic number.

8018422949124 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8018422949124 is the 2831682-nd square number.

It is an amenable number.

8018422949124 is an abundant number, since it is smaller than the sum of its proper divisors (15559908535857).

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

8018422949124 is an frugal number, since it uses more digits than its factorization.

8018422949124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134866 (or 67433 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 8018422949124 in words is "eight trillion, eighteen billion, four hundred twenty-two million, nine hundred forty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 67421 134842 202263 269684 404526 471947 606789 809052 943894 1213578 1415841 1887788 2427156 2831682 3303629 4247523 5663364 6607258 8495046 9910887 13214516 16990092 19821774 29732661 39643548 59465322 118930644 4545591241 9091182482 13636773723 18182364964 27273547446 31819138687 40910321169 54547094892 63638277374 81820642338 95457416061 127276554748 163641284676 190914832122 222733970809 286372248183 381829664244 445467941618 572744496366 668201912427 890935883236 1145488992732 1336403824854 2004605737281 2672807649708 4009211474562 8018422949124