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2148365638512 = 243237403221779
BaseRepresentation
bin11111010000110100100…
…100100001101101110000
321121101022021222012100200
4133100310210201231300
5240144323100413022
64322540123315200
7311133334424022
oct37206444415560
97541267865320
102148365638512
11759131438a65
122a844b37bb00
13127789339812
1475da5164012
153ad3d371bac
hex1f434921b70

2148365638512 has 60 divisors (see below), whose sum is σ = 6174938338920. Its totient is φ = 696767232384.

The previous prime is 2148365638511. The next prime is 2148365638543. The reversal of 2148365638512 is 2158365638412.

2148365638512 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 3 + 65 + 63 + 8 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148365638511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 201605562 + ... + 201616217.

It is an arithmetic number, because the mean of its divisors is an integer number (102915638982).

Almost surely, 22148365638512 is an apocalyptic number.

It is an amenable number.

2148365638512 is an abundant number, since it is smaller than the sum of its proper divisors (4026572700408).

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

2148365638512 is a wasteful number, since it uses less digits than its factorization.

2148365638512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403221830 (or 403221821 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 2148365638512 in words is "two trillion, one hundred forty-eight billion, three hundred sixty-five million, six hundred thirty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 403221779 806443558 1209665337 1612887116 2419330674 3225774232 3628996011 4838661348 6451548464 7257992022 9677322696 14515984044 14919205823 19354645392 29031968088 29838411646 44757617469 58063936176 59676823292 89515234938 119353646584 134272852407 179030469876 238707293168 268545704814 358060939752 537091409628 716121879504 1074182819256 2148365638512