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2286042493968 = 243294961167177
BaseRepresentation
bin100001010001000010110…
…000000011010000010000
322002112200020021002220100
4201101002300003100100
5244423303334301333
64510105440212400
7324106156405122
oct41210260032020
98075606232810
102286042493968
11801561433232
1230b07300a100
1313775a811b6c
147c90601b212
153e6ea14e213
hex21442c03410

2286042493968 has 60 divisors (see below), whose sum is σ = 6397849566108. Its totient is φ = 762001582080.

The previous prime is 2286042493963. The next prime is 2286042493997. The reversal of 2286042493968 is 8693942406822.

2286042493968 is a `hidden beast` number, since 2 + 2 + 8 + 60 + 424 + 93 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1304968091904 + 981074402064 = 1142352^2 + 990492^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2286042493963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13590796 + ... + 13757972.

Almost surely, 22286042493968 is an apocalyptic number.

It is an amenable number.

2286042493968 is an abundant number, since it is smaller than the sum of its proper divisors (4111807072140).

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

2286042493968 is a wasteful number, since it uses less digits than its factorization.

2286042493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262152 (or 262143 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 2286042493968 in words is "two trillion, two hundred eighty-six billion, forty-two million, four hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 94961 167177 189922 284883 334354 379844 501531 569766 668708 759688 854649 1003062 1139532 1337416 1504593 1519376 1709298 2006124 2279064 2674832 3009186 3418596 4012248 4558128 6018372 6837192 8024496 12036744 13674384 24073488 15875295097 31750590194 47625885291 63501180388 95251770582 127002360776 142877655873 190503541164 254004721552 285755311746 381007082328 571510623492 762014164656 1143021246984 2286042493968