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5665873984 = 26974
BaseRepresentation
bin1010100011011011…
…00110000001000000
3112121212100012221121
411101231212001000
543100430431414
62334115202024
7260256064021
oct52155460100
915555305847
105665873984
112448268a91
1211215a6314
136c3aacc74
143ba6b4c48
15232637724
hex151b66040

5665873984 has 35 divisors (see below), whose sum is σ = 11360335547. Its totient is φ = 2803731456.

The previous prime is 5665873979. The next prime is 5665874021. The reversal of 5665873984 is 4893785665.

The square root of 5665873984 is 75272.

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

It can be written as a sum of positive squares in 2 ways, for example, as 58859584 + 5607014400 = 7672^2 + 74880^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=194.

It is a Duffinian number.

Its product of digits (43545600) is a multiple of the sum of its prime factors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 58411024 + ... + 58411120.

Almost surely, 25665873984 is an apocalyptic number.

5665873984 is the 75272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5665873984

5665873984 is an abundant number, since it is smaller than the sum of its proper divisors (5694461563).

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

5665873984 is an frugal number, since it uses more digits than its factorization.

5665873984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 99 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 61.

The cubic root of 5665873984 is about 1782.7439461763.

The spelling of 5665873984 in words is "five billion, six hundred sixty-five million, eight hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 6208 9409 18818 37636 75272 150544 301088 602176 912673 1825346 3650692 7301384 14602768 29205536 58411072 88529281 177058562 354117124 708234248 1416468496 2832936992 5665873984