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2128199584 = 25728133811
BaseRepresentation
bin111111011011001…
…1011111110100000
312111022120201222211
41332312123332200
513324304341314
6551102411504
7103511253340
oct17666337640
95438521884
102128199584
119a2349935
124b4890b94
1327bbb24c4
1416290ad20
15c6c879c4
hex7ed9bfa0

2128199584 has 48 divisors (see below), whose sum is σ = 4805631936. Its totient is φ = 908812800.

The previous prime is 2128199581. The next prime is 2128199599. The reversal of 2128199584 is 4859918212.

It is not an unprimeable number, because it can be changed into a prime (2128199581) 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, 46039 + ... + 79849.

It is an arithmetic number, because the mean of its divisors is an integer number (100117332).

Almost surely, 22128199584 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 2128199584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402815968).

2128199584 is an abundant number, since it is smaller than the sum of its proper divisors (2677432352).

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

2128199584 is a wasteful number, since it uses less digits than its factorization.

2128199584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34109 (or 34101 counting only the distinct ones).

The product of its digits is 414720, while the sum is 49.

The square root of 2128199584 is about 46132.4135939146. The cubic root of 2128199584 is about 1286.2857291156.

The spelling of 2128199584 in words is "two billion, one hundred twenty-eight million, one hundred ninety-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 281 562 1124 1967 2248 3934 4496 7868 8992 15736 31472 33811 62944 67622 135244 236677 270488 473354 540976 946708 1081952 1893416 3786832 7573664 9500891 19001782 38003564 66506237 76007128 133012474 152014256 266024948 304028512 532049896 1064099792 2128199584