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1053044551200 = 25352712961547
BaseRepresentation
bin11110101001011100101…
…10001010111000100000
310201200002111002211012110
433110232112022320200
5114223113401114300
62123432331155320
7136036265666235
oct17245626127040
93650074084173
101053044551200
11376659218364
121501065a5b40
13783bca1b045
1438d7925978c
151c5d3550550
hexf52e58ae20

1053044551200 has 144 divisors (see below), whose sum is σ = 3428196518880. Its totient is φ = 280767928320.

The previous prime is 1053044551103. The next prime is 1053044551231. The reversal of 1053044551200 is 21554403501.

It is a super-2 number, since 2×10530445512002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17078827 + ... + 17140373.

It is an arithmetic number, because the mean of its divisors is an integer number (23806920270).

Almost surely, 21053044551200 is an apocalyptic number.

1053044551200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053044551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714098259440).

1053044551200 is an abundant number, since it is smaller than the sum of its proper divisors (2375151967680).

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

1053044551200 is a wasteful number, since it uses less digits than its factorization.

1053044551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68699 (or 68686 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 1053044551200 its reverse (21554403501), we get a palindrome (1074598954701).

The spelling of 1053044551200 in words is "one trillion, fifty-three billion, forty-four million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 7129 14258 21387 28516 35645 42774 57032 61547 71290 85548 106935 114064 123094 142580 171096 178225 184641 213870 228128 246188 285160 307735 342192 356450 369282 427740 492376 534675 570320 615470 684384 712900 738564 855480 923205 984752 1069350 1140640 1230940 1425800 1477128 1538675 1710960 1846410 1969504 2138700 2461880 2851600 2954256 3077350 3421920 3692820 4277400 4616025 4923760 5703200 5908512 6154700 7385640 8554800 9232050 9847520 12309400 14771280 17109600 18464100 24618800 29542560 36928200 49237600 73856400 147712800 438768563 877537126 1316305689 1755074252 2193842815 2632611378 3510148504 4387685630 5265222756 6581528445 7020297008 8775371260 10530445512 10969214075 13163056890 14040594016 17550742520 21060891024 21938428150 26326113780 32907642225 35101485040 42121782048 43876856300 52652227560 65815284450 70202970080 87753712600 105304455120 131630568900 175507425200 210608910240 263261137800 351014850400 526522275600 1053044551200