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4211801984 = 27138113121
BaseRepresentation
bin1111101100001010…
…1111111110000000
3101212112020201011002
43323002233332000
532111210130414
61533533311132
7206241504035
oct37302577600
911775221132
104211801984
1118714a8195
129966354a8
1352177b830
142bd52938c
15199b614de
hexfb0aff80

4211801984 has 64 divisors (see below), whose sum is σ = 9050178480. Its totient is φ = 1940889600.

The previous prime is 4211801947. The next prime is 4211801987. The reversal of 4211801984 is 4891081124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211801987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347944 + ... + 1351064.

Almost surely, 24211801984 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 4211801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525089240).

4211801984 is an abundant number, since it is smaller than the sum of its proper divisors (4838376496).

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

4211801984 is a wasteful number, since it uses less digits than its factorization.

4211801984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 4211801984 is about 64898.3973916151. The cubic root of 4211801984 is about 1614.9384754844.

The spelling of 4211801984 in words is "four billion, two hundred eleven million, eight hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 811 832 1622 1664 3121 3244 6242 6488 10543 12484 12976 21086 24968 25952 40573 42172 49936 51904 81146 84344 99872 103808 162292 168688 199744 324584 337376 399488 649168 674752 1298336 1349504 2531131 2596672 5062262 5193344 10124524 20249048 32904703 40498096 65809406 80996192 131618812 161992384 263237624 323984768 526475248 1052950496 2105900992 4211801984