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5503693600 = 255235319489
BaseRepresentation
bin1010010000000101…
…11011001100100000
3112012120011121021201
411020002323030200
542232421143400
62310043130544
7253246423636
oct51002731440
915176147251
105503693600
112374767509
121097213a54
13699307c42
143a2d39356
1522329e06a
hex1480bb320

5503693600 has 72 divisors (see below), whose sum is σ = 13474645380. Its totient is φ = 2195128320.

The previous prime is 5503693597. The next prime is 5503693603. The reversal of 5503693600 is 63963055.

It is an interprime number because it is at equal distance from previous prime (5503693597) and next prime (5503693603).

It can be written as a sum of positive squares in 6 ways, for example, as 390299536 + 5113394064 = 19756^2 + 71508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5503693600.

It is not an unprimeable number, because it can be changed into a prime (5503693603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272656 + ... + 292144.

Almost surely, 25503693600 is an apocalyptic number.

5503693600 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 5503693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737322690).

5503693600 is an abundant number, since it is smaller than the sum of its proper divisors (7970951780).

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

5503693600 is a wasteful number, since it uses less digits than its factorization.

5503693600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19862 (or 19849 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 37.

The square root of 5503693600 is about 74186.8829376191. The cubic root of 5503693600 is about 1765.5692215026.

The spelling of 5503693600 in words is "five billion, five hundred three million, six hundred ninety-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 353 400 706 800 1412 1765 2824 3530 5648 7060 8825 11296 14120 17650 19489 28240 35300 38978 56480 70600 77956 97445 141200 155912 194890 282400 311824 389780 487225 623648 779560 974450 1559120 1948900 3118240 3897800 6879617 7795600 13759234 15591200 27518468 34398085 55036936 68796170 110073872 137592340 171990425 220147744 275184680 343980850 550369360 687961700 1100738720 1375923400 2751846800 5503693600