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1054344353550 = 235223823371333
BaseRepresentation
bin11110101011110111101…
…00100001011100001110
310201210110001220121211020
433111323310201130032
5114233244123303200
62124205322335010
7136113431064405
oct17257364413416
93653401817736
101054344353550
113771659a0084
1215040995a466
13785690b7067
143905db2863c
151c65c701ea0
hexf57bd2170e

1054344353550 has 96 divisors (see below), whose sum is σ = 2731782440448. Its totient is φ = 268606715520.

The previous prime is 1054344353509. The next prime is 1054344353551. The reversal of 1054344353550 is 553534434501.

It is a happy number.

It is a super-2 number, since 2×10543443535502 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054344353551) 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, 2653684 + ... + 3025016.

It is an arithmetic number, because the mean of its divisors is an integer number (28456067088).

Almost surely, 21054344353550 is an apocalyptic number.

1054344353550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054344353550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365891220224).

1054344353550 is an abundant number, since it is smaller than the sum of its proper divisors (1677438086898).

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

1054344353550 is a wasteful number, since it uses less digits than its factorization.

1054344353550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372194 (or 372189 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 1054344353550 in words is "one trillion, fifty-four billion, three hundred forty-four million, three hundred fifty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 823 1150 1646 1725 2469 3450 4115 4938 8230 12345 18929 20575 24690 37858 41150 56787 61725 94645 113574 123450 189290 283935 371333 473225 567870 742666 946450 1113999 1419675 1856665 2227998 2839350 3713330 5569995 8540659 9283325 11139990 17081318 18566650 25621977 27849975 42703295 51243954 55699950 85406590 128109885 213516475 256219770 305607059 427032950 611214118 640549425 916821177 1281098850 1528035295 1833642354 3056070590 4584105885 7028962357 7640176475 9168211770 14057924714 15280352950 21086887071 22920529425 35144811785 42173774142 45841058850 70289623570 105434435355 175724058925 210868870710 351448117850 527172176775 1054344353550