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4454532252252 = 22321719508775307
BaseRepresentation
bin100000011010010011011…
…0100000000001001011100
3120202211221000022111211100
41000310212310000021130
51040440340224033002
613250214525353100
7636554314256235
oct100644664001134
916684830274740
104454532252252
11146817a366235
125bb399a08790
132640a3163454
14115859b3608c
157ad150a811c
hex40d26d0025c

4454532252252 has 144 divisors (see below), whose sum is σ = 12552554327040. Its totient is φ = 1323669828096.

The previous prime is 4454532252217. The next prime is 4454532252253. The reversal of 4454532252252 is 2522522354544.

4454532252252 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 53 + 22 + 522 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4454532252198 and 4454532252207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4454532252253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59113983 + ... + 59189289.

It is an arithmetic number, because the mean of its divisors is an integer number (87170516160).

Almost surely, 24454532252252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454532252252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276277163520).

4454532252252 is an abundant number, since it is smaller than the sum of its proper divisors (8098022074788).

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

4454532252252 is a wasteful number, since it uses less digits than its factorization.

4454532252252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80440 (or 80435 counting only the distinct ones).

The product of its digits is 3840000, while the sum is 45.

The spelling of 4454532252252 in words is "four trillion, four hundred fifty-four billion, five hundred thirty-two million, two hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5087 5814 10174 11628 15261 20348 30522 45783 61044 75307 86479 91566 96653 150614 172958 183132 193306 225921 259437 289959 301228 345916 386612 451842 518874 579918 677763 778311 869877 903684 1037748 1159836 1280219 1355526 1430833 1556622 1643101 1739754 2560438 2711052 2861666 3113244 3286202 3479508 3840657 4292499 4929303 5120876 5723332 6572404 7681314 8584998 9858606 11521971 12877497 14787909 15362628 17169996 19717212 23043942 24324161 25754994 29575818 46087884 48648322 51509988 59151636 72972483 97296644 145944966 218917449 291889932 383086709 437834898 766173418 875669796 1149260127 1532346836 2298520254 3447780381 4597040508 6512474053 6895560762 7278647471 13024948106 13791121524 14557294942 19537422159 21835942413 26049896212 29114589884 39074844318 43671884826 58612266477 65507827239 78149688636 87343769652 117224532954 123737007007 131015654478 234449065908 247474014014 262031308956 371211021021 494948028028 742422042042 1113633063063 1484844084084 2227266126126 4454532252252