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2081149468956 = 2232791674381847
BaseRepresentation
bin11110010010001110001…
…011001100000100011100
321100221210212212222221100
4132102032023030010130
5233044143231001311
64232022235433100
7303233552416065
oct36221613140434
97327725788840
102081149468956
1173267968aa08
122974108b5790
1312133687a61c
1472a2a16356c
1539207354a56
hex1e48e2cc11c

2081149468956 has 72 divisors (see below), whose sum is σ = 5359175377920. Its totient is φ = 680833704096.

The previous prime is 2081149468919. The next prime is 2081149469059. The reversal of 2081149468956 is 6598649411802.

2081149468956 is a `hidden beast` number, since 2 + 0 + 8 + 11 + 494 + 6 + 89 + 56 = 666.

It is a super-2 number, since 2×20811494689562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2081149468893 and 2081149468902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1715976 + ... + 2665871.

It is an arithmetic number, because the mean of its divisors is an integer number (74432991360).

Almost surely, 22081149468956 is an apocalyptic number.

It is an amenable number.

2081149468956 is an abundant number, since it is smaller than the sum of its proper divisors (3278025908964).

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

2081149468956 is a wasteful number, since it uses less digits than its factorization.

2081149468956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382103 (or 4382098 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 2081149468956 in words is "two trillion, eighty-one billion, one hundred forty-nine million, four hundred sixty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 167 237 316 334 474 501 668 711 948 1002 1422 1503 2004 2844 3006 6012 13193 26386 39579 52772 79158 118737 158316 237474 474948 4381847 8763694 13145541 17527388 26291082 39436623 52582164 78873246 157746492 346165913 692331826 731768449 1038497739 1384663652 1463536898 2076995478 2195305347 2927073796 3115493217 4153990956 4390610694 6230986434 6585916041 8781221388 12461972868 13171832082 26343664164 57809707471 115619414942 173429122413 231238829884 346858244826 520287367239 693716489652 1040574734478 2081149468956