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12005520417 = 321121932392
BaseRepresentation
bin10110010111001010…
…11011010000100001
31010222200111121221100
423023211123100201
5144041403123132
65303143545013
7603336145152
oct131345332041
933880447840
1012005520417
115100892200
1223b075b169
131194348447
1481c657929
154a3eb137c
hex2cb95b421

12005520417 has 54 divisors (see below), whose sum is σ = 19240370786. Its totient is φ = 7208087040.

The previous prime is 12005520413. The next prime is 12005520451. The reversal of 12005520417 is 71402550021.

12005520417 is a `hidden beast` number, since 120 + 0 + 5 + 520 + 4 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8957486736 + 3048033681 = 94644^2 + 55209^2 .

It is not a de Polignac number, because 12005520417 - 22 = 12005520413 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12005520413) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 50232184 + ... + 50232422.

Almost surely, 212005520417 is an apocalyptic number.

It is an amenable number.

12005520417 is a deficient number, since it is larger than the sum of its proper divisors (7234850369).

12005520417 is a wasteful number, since it uses less digits than its factorization.

12005520417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 12005520417 in words is "twelve billion, five million, five hundred twenty thousand, four hundred seventeen".

Divisors: 1 3 9 11 33 99 121 193 239 363 579 717 1089 1737 2123 2151 2629 6369 7887 19107 23353 23661 28919 46127 57121 70059 86757 138381 171363 210177 260271 415143 507397 514089 628331 1522191 1884993 4566573 5581367 5654979 6911641 11024353 16744101 20734923 33073059 50232303 62204769 99219177 121267883 363803649 1091410947 1333946713 4001840139 12005520417