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5057758100 = 225250577581
BaseRepresentation
bin1001011010111011…
…10100001110010100
3111001111001201210002
410231131310032110
540324241224400
62153513150432
7236223143303
oct45535641624
914044051702
105057758100
112165a7757a
12b919bb418
13627b02295
1435da1843a
151e9064ed5
hex12d774394

5057758100 has 18 divisors (see below), whose sum is σ = 10975335294. Its totient is φ = 2023103200.

The previous prime is 5057758099. The next prime is 5057758117. The reversal of 5057758100 is 18577505.

It can be written as a sum of positive squares in 3 ways, for example, as 435389956 + 4622368144 = 20866^2 + 67988^2 .

It is a super-2 number, since 2×50577581002 = 51161833996231220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25288691 + ... + 25288890.

Almost surely, 25057758100 is an apocalyptic number.

5057758100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5057758100 is an abundant number, since it is smaller than the sum of its proper divisors (5917577194).

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

5057758100 is a wasteful number, since it uses less digits than its factorization.

5057758100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50577595 (or 50577588 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 38.

The square root of 5057758100 is about 71117.9168705046. The cubic root of 5057758100 is about 1716.5350856929.

The spelling of 5057758100 in words is "five billion, fifty-seven million, seven hundred fifty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 50577581 101155162 202310324 252887905 505775810 1011551620 1264439525 2528879050 5057758100