Search a number
-
+
2000514040524 = 22365911627921
BaseRepresentation
bin11101000111000111111…
…011011100001011001100
321002020200021002211000000
4131013013323130023030
5230234023043244044
64131005022404300
7264350413530336
oct35070773341314
97066607084000
102000514040524
1170146002806a
12283868130690
13116855bc416c
146cb7ac5c456
15370881bad69
hex1d1c7edc2cc

2000514040524 has 84 divisors (see below), whose sum is σ = 5337913873320. Its totient is φ = 655535617920.

The previous prime is 2000514040507. The next prime is 2000514040589. The reversal of 2000514040524 is 4250404150002.

2000514040524 is a `hidden beast` number, since 200 + 0 + 5 + 1 + 404 + 0 + 52 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5641917 + ... + 5986004.

It is an arithmetic number, because the mean of its divisors is an integer number (63546593730).

Almost surely, 22000514040524 is an apocalyptic number.

It is an amenable number.

2000514040524 is an abundant number, since it is smaller than the sum of its proper divisors (3337399832796).

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

2000514040524 is a wasteful number, since it uses less digits than its factorization.

2000514040524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11628002 (or 11627985 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 2000514040524 its reverse (4250404150002), we get a palindrome (6250918190526).

The spelling of 2000514040524 in words is "two trillion, five hundred fourteen million, forty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 729 972 1062 1458 1593 2124 2916 3186 4779 6372 9558 14337 19116 28674 43011 57348 86022 172044 11627921 23255842 34883763 46511684 69767526 104651289 139535052 209302578 313953867 418605156 627907734 686047339 941861601 1255815468 1372094678 1883723202 2058142017 2744189356 2825584803 3767446404 4116284034 5651169606 6174426051 8232568068 8476754409 11302339212 12348852102 16953508818 18523278153 24697704204 33907017636 37046556306 55569834459 74093112612 111139668918 166709503377 222279337836 333419006754 500128510131 666838013508 1000257020262 2000514040524