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4209954496 = 261112747087
BaseRepresentation
bin1111101011101110…
…1100111011000000
3101212101202211212121
43322323230323000
532110222020441
61533425534024
7206220010546
oct37273547300
911771684777
104209954496
111870456140
12995aa4314
13521282947
142bd1a7d96
151998e8dd1
hexfaeecec0

4209954496 has 56 divisors (see below), whose sum is σ = 9185550336. Its totient is φ = 1898507520.

The previous prime is 4209954491. The next prime is 4209954503. The reversal of 4209954496 is 6944599024.

It is a happy number.

It is a super-2 number, since 2×42099544962 = 35447433716781228032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4209954491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65865 + ... + 112951.

Almost surely, 24209954496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4209954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592775168).

4209954496 is an abundant number, since it is smaller than the sum of its proper divisors (4975595840).

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

4209954496 is a wasteful number, since it uses less digits than its factorization.

4209954496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47237 (or 47227 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The square root of 4209954496 is about 64884.1621353008. The cubic root of 4209954496 is about 1614.7023124504.

The spelling of 4209954496 in words is "four billion, two hundred nine million, nine hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 176 254 352 508 704 1016 1397 2032 2794 4064 5588 8128 11176 22352 44704 47087 89408 94174 188348 376696 517957 753392 1035914 1506784 2071828 3013568 4143656 5980049 8287312 11960098 16574624 23920196 33149248 47840392 65780539 95680784 131561078 191361568 263122156 382723136 526244312 1052488624 2104977248 4209954496