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55434188664 = 23325314526779
BaseRepresentation
bin110011101000001000…
…101001011101111000
312022002022012120001200
4303220020221131320
51402012123014124
641244403014200
74001465554251
oct635010513570
9168068176050
1055434188664
1121567177468
12a8b096a360
1352c585058a
14297c335b28
1516969b4bc9
hexce8229778

55434188664 has 48 divisors (see below), whose sum is σ = 152966993400. Its totient is φ = 18129418944.

The previous prime is 55434188639. The next prime is 55434188671. The reversal of 55434188664 is 46688143455.

55434188664 is a `hidden beast` number, since 5 + 543 + 4 + 18 + 86 + 6 + 4 = 666.

It is a super-2 number, since 2×554341886642 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55434188664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7259574 + ... + 7267205.

Almost surely, 255434188664 is an apocalyptic number.

It is an amenable number.

55434188664 is an abundant number, since it is smaller than the sum of its proper divisors (97532804736).

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

55434188664 is a wasteful number, since it uses less digits than its factorization.

55434188664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14526844 (or 14526837 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 55434188664 in words is "fifty-five billion, four hundred thirty-four million, one hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 14526779 29053558 43580337 58107116 87160674 116214232 130741011 174321348 261482022 348642696 522964044 769919287 1045928088 1539838574 2309757861 3079677148 4619515722 6159354296 6929273583 9239031444 13858547166 18478062888 27717094332 55434188664