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5350544000 = 27531731933
BaseRepresentation
bin1001111101110101…
…01101001010000000
3111210212222210112022
410332322231022000
541424214402000
62242532421012
7246406605434
oct47672551200
914725883468
105350544000
1122a627399a
121053a77768
13673675589
1438a8709c4
15214aeb585
hex13eead280

5350544000 has 128 divisors (see below), whose sum is σ = 13386606480. Its totient is φ = 2126745600.

The previous prime is 5350543997. The next prime is 5350544021. The reversal of 5350544000 is 4450535.

It can be written as a sum of positive squares in 8 ways, for example, as 1286226496 + 4064317504 = 35864^2 + 63752^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2767034 + ... + 2768966.

Almost surely, 25350544000 is an apocalyptic number.

5350544000 is a gapful number since it is divisible by the number (50) 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 5350544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693303240).

5350544000 is an abundant number, since it is smaller than the sum of its proper divisors (8036062480).

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

5350544000 is a wasteful number, since it uses less digits than its factorization.

5350544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 5350544000 is about 73147.4128045552. The cubic root of 5350544000 is about 1749.0382742943.

Adding to 5350544000 its reverse (4450535), we get a palindrome (5354994535).

The spelling of 5350544000 in words is "five billion, three hundred fifty million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 173 200 250 320 346 400 500 640 692 800 865 1000 1384 1600 1730 1933 2000 2768 3200 3460 3866 4000 4325 5536 6920 7732 8000 8650 9665 11072 13840 15464 16000 17300 19330 21625 22144 27680 30928 34600 38660 43250 48325 55360 61856 69200 77320 86500 96650 110720 123712 138400 154640 173000 193300 241625 247424 276800 309280 334409 346000 386600 483250 553600 618560 668818 692000 773200 966500 1237120 1337636 1384000 1546400 1672045 1933000 2675272 2768000 3092800 3344090 3866000 5350544 6185600 6688180 7732000 8360225 10701088 13376360 15464000 16720450 21402176 26752720 30928000 33440900 41801125 42804352 53505440 66881800 83602250 107010880 133763600 167204500 214021760 267527200 334409000 535054400 668818000 1070108800 1337636000 2675272000 5350544000