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2129272448 = 27313714503
BaseRepresentation
bin111111011101010…
…0001111010000000
312111101121020200112
41332322201322000
513330043204243
6551141410452
7103523342252
oct17672417200
95441536615
102129272448
119a2a119a6
124b5109a28
1327c199934
14162b09cd2
15c6dea818
hex7eea1e80

2129272448 has 64 divisors (see below), whose sum is σ = 4497400320. Its totient is φ = 1002378240.

The previous prime is 2129272441. The next prime is 2129272469. The reversal of 2129272448 is 8442729212.

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

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2129272441) 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, 139565 + ... + 154067.

It is an arithmetic number, because the mean of its divisors is an integer number (70271880).

Almost surely, 22129272448 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 2129272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248700160).

2129272448 is an abundant number, since it is smaller than the sum of its proper divisors (2368127872).

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

2129272448 is a wasteful number, since it uses less digits than its factorization.

2129272448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14585 (or 14573 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 2129272448 is about 46144.0402218965. The cubic root of 2129272448 is about 1286.5018394578.

The spelling of 2129272448 in words is "two billion, one hundred twenty-nine million, two hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 296 496 592 992 1147 1184 1984 2294 2368 3968 4588 4736 9176 14503 18352 29006 36704 58012 73408 116024 146816 232048 449593 464096 536611 899186 928192 1073222 1798372 1856384 2146444 3596744 4292888 7193488 8585776 14386976 16634941 17171552 28773952 33269882 34343104 57547904 66539764 68686208 133079528 266159056 532318112 1064636224 2129272448