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5641512100 = 225272292372
BaseRepresentation
bin1010100000100001…
…01010010010100100
3112120011111111201121
411100100222102210
543023211341400
62331445103324
7256542030100
oct52020522244
915504444647
105641512100
1124355395a4
1211153b7b44
136bba30353
143b7372900
1523042421a
hex15042a4a4

5641512100 has 243 divisors, whose sum is σ = 15158172393. Its totient is φ = 1817061120.

The previous prime is 5641512061. The next prime is 5641512133. The reversal of 5641512100 is 12151465.

It is a happy number.

The square root of 5641512100 is 75110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1057680484 + 4583831616 = 32522^2 + 67704^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 152473282 + ... + 152473318.

Almost surely, 25641512100 is an apocalyptic number.

5641512100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5641512100 is the 75110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5641512100

5641512100 is an abundant number, since it is smaller than the sum of its proper divisors (9516660293).

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

5641512100 is a wasteful number, since it uses less digits than its factorization.

5641512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The cubic root of 5641512100 is about 1780.1851530667.

Multiplying 5641512100 by its sum of digits (25), we get a square (141037802500 = 3755502).

5641512100 divided by its sum of digits (25) gives a square (225660484 = 150222).

Adding to 5641512100 its reverse (12151465), we get a palindrome (5653663565).

The spelling of 5641512100 in words is "five billion, six hundred forty-one million, five hundred twelve thousand, one hundred".