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2148621706881 = 3213127877143609
BaseRepresentation
bin11111010001000011110…
…101010110011010000001
321121101222010210211010100
4133101003311112122001
5240200334124110011
64323021351553013
7311142564112026
oct37210365263201
97541863724110
102148621706881
11759252a36a11
122a850108b769
131277ca3c5370
1475dcb17d54d
153ad55aa3d56
hex1f443d56681

2148621706881 has 24 divisors (see below), whose sum is σ = 3342349843560. Its totient is φ = 1322209195776.

The previous prime is 2148621706849. The next prime is 2148621706919. The reversal of 2148621706881 is 1886071268412.

2148621706881 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 621 + 7 + 0 + 6 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 205608740481 + 1943012966400 = 453441^2 + 1393920^2 .

It is not a de Polignac number, because 2148621706881 - 25 = 2148621706849 is a prime.

It is a super-2 number, since 2×21486217068812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2148621706801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14889805 + ... + 15033413.

It is an arithmetic number, because the mean of its divisors is an integer number (139264576815).

Almost surely, 22148621706881 is an apocalyptic number.

It is an amenable number.

2148621706881 is a deficient number, since it is larger than the sum of its proper divisors (1193728136679).

2148621706881 is a wasteful number, since it uses less digits than its factorization.

2148621706881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271505 (or 271502 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 2148621706881 in words is "two trillion, one hundred forty-eight billion, six hundred twenty-one million, seven hundred six thousand, eight hundred eighty-one".

Divisors: 1 3 9 13 39 117 127877 143609 383631 430827 1150893 1292481 1662401 1866917 4987203 5600751 14961609 16802253 18364288093 55092864279 165278592837 238735745209 716207235627 2148621706881