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5690467120900 = 22522385472
BaseRepresentation
bin101001011001110101001…
…0001010111011100000100
3202011000002102211002102211
41102303222101113130010
51221213034040332100
620034055311113204
71125060036311212
oct122635221273404
922130072732384
105690467120900
1118a434a380a81
1277aa25b12804
133237bb556533
141595c49a1cb2
159d04e93c1ba
hex52cea457704

5690467120900 has 27 divisors (see below), whose sum is σ = 12348365417269. Its totient is φ = 2276177306480.

The previous prime is 5690467120817. The next prime is 5690467120907. The reversal of 5690467120900 is 90217640965.

It is a happy number.

The square root of 5690467120900 is 2385470.

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

It can be written as a sum of positive squares in only one way, i.e., 2048568163524 + 3641898957376 = 1431282^2 + 1908376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5690467120907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23735427 + ... + 23973973.

Almost surely, 25690467120900 is an apocalyptic number.

5690467120900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5690467120900 is the 2385470-th square number.

It is an amenable number.

5690467120900 is an abundant number, since it is smaller than the sum of its proper divisors (6657898296369).

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

5690467120900 is an frugal number, since it uses more digits than its factorization.

5690467120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477108 (or 238554 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 5690467120900 by its sum of digits (49), we get a square (278832888924100 = 166982902).

The spelling of 5690467120900 in words is "five trillion, six hundred ninety billion, four hundred sixty-seven million, one hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 238547 477094 954188 1192735 2385470 4770940 5963675 11927350 23854700 56904671209 113809342418 227618684836 284523356045 569046712090 1138093424180 1422616780225 2845233560450 5690467120900