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20493810486081 = 38558892
BaseRepresentation
bin1001010100011100101100…
…10010110100101101000001
32200120012002220000100000000
410222032112102310231001
510141232310441023311
6111330420534350213
74213425504631212
oct452162622645501
980505086010000
1020493810486081
116591415824079
12236ba077bb369
13b5873401062a
1450bc9741d409
152581573e9056
hex12a3964b4b41

20493810486081 has 27 divisors (see below), whose sum is σ = 30739703952451. Its totient is φ = 13662295865568.

The previous prime is 20493810486073. The next prime is 20493810486091. The reversal of 20493810486081 is 18068401839402.

It is a happy number.

The square root of 20493810486081 is 4527009.

It is a perfect power (a square), and thus also a powerful number.

20493810486081 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 3 + 81 + 0 + 486 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18214193660481 + 2279616825600 = 4267809^2 + 1509840^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 20493810486081 - 23 = 20493810486073 is a prime.

It is a super-2 number, since 2×204938104860812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20493810486091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 366659785 + ... + 366715673.

Almost surely, 220493810486081 is an apocalyptic number.

20493810486081 is the 4527009-th square number.

20493810486081 is the 2263505-th centered octagonal number.

It is an amenable number.

20493810486081 is a deficient number, since it is larger than the sum of its proper divisors (10245893466370).

20493810486081 is an frugal number, since it uses more digits than its factorization.

20493810486081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111802 (or 55892 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 20493810486081 in words is "twenty trillion, four hundred ninety-three billion, eight hundred ten million, four hundred eighty-six thousand, eighty-one".

Divisors: 1 3 9 27 81 243 729 2187 6561 55889 167667 503001 1509003 4527009 13581027 40743081 122229243 366687729 3123580321 9370740963 28112222889 84336668667 253010006001 759030018003 2277090054009 6831270162027 20493810486081