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45574450309458 = 2337222697590967
BaseRepresentation
bin10100101110011001000001…
…11010111110100101010010
312222100212121210122102202000
422113030200322332211102
521433142433234400313
6240532340300334430
712412434235630200
oct1227144072764522
9188325553572660
1045574450309458
111358101a0924a4
125140773244416
131c57862c20335
14b37b5ab50070
15540769207673
hex297320ebe952

45574450309458 has 96 divisors (see below), whose sum is σ = 117863441942400. Its totient is φ = 13015531031328.

The previous prime is 45574450309457. The next prime is 45574450309463. The reversal of 45574450309458 is 85490305447554.

It is a happy number.

45574450309458 is a `hidden beast` number, since 4 + 5 + 5 + 74 + 4 + 503 + 0 + 9 + 4 + 58 = 666.

45574450309458 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45574450309395 and 45574450309404.

It is not an unprimeable number, because it can be changed into a prime (45574450309457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2208291 + ... + 9799257.

It is an arithmetic number, because the mean of its divisors is an integer number (1227744186900).

Almost surely, 245574450309458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45574450309458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58931720971200).

45574450309458 is an abundant number, since it is smaller than the sum of its proper divisors (72288991632942).

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

45574450309458 is a wasteful number, since it uses less digits than its factorization.

45574450309458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593261 (or 7593248 counting only the distinct ones).

The product of its (nonzero) digits is 241920000, while the sum is 63.

The spelling of 45574450309458 in words is "forty-five trillion, five hundred seventy-four billion, four hundred fifty million, three hundred nine thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2269 2646 4538 6807 13614 15883 20421 31766 40842 47649 61263 95298 111181 122526 142947 222362 285894 333543 428841 667086 857682 1000629 2001258 3001887 6003774 7590967 15181934 22772901 45545802 53136769 68318703 106273538 136637406 159410307 204956109 318820614 371957383 409912218 478230921 743914766 956461842 1115872149 1434692763 2231744298 2869385526 3347616447 6695232894 10042849341 17223904123 20085698682 34447808246 51671712369 103343424738 120567328861 155015137107 241134657722 310030274214 361701986583 465045411321 723403973166 843971302027 930090822642 1085105959749 1687942604054 2170211919498 2531913906081 3255317879247 5063827812162 6510635758494 7595741718243 15191483436486 22787225154729 45574450309458