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2545686432 = 253237238897
BaseRepresentation
bin1001011110111100…
…0001011110100000
320120102011021021200
42113233001132200
520203143431212
61100334521200
7120040656222
oct22757013640
96512137250
102545686432
111096a78993
125b0666200
13317537343
141a2144412
15ed7526dc
hex97bc17a0

2545686432 has 72 divisors (see below), whose sum is σ = 7434983556. Its totient is φ = 825624576.

The previous prime is 2545686431. The next prime is 2545686463. The reversal of 2545686432 is 2346865452.

2545686432 is a `hidden beast` number, since 2 + 54 + 568 + 6 + 4 + 32 = 666.

2545686432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2175662736 + 370023696 = 46644^2 + 19236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2545686431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108793 + ... + 130104.

Almost surely, 22545686432 is an apocalyptic number.

It is an amenable number.

2545686432 is an abundant number, since it is smaller than the sum of its proper divisors (4889297124).

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

2545686432 is a wasteful number, since it uses less digits than its factorization.

2545686432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238950 (or 238939 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 2545686432 is about 50454.7959266510. The cubic root of 2545686432 is about 1365.4264223419.

The spelling of 2545686432 in words is "two billion, five hundred forty-five million, six hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 238897 477794 716691 955588 1433382 1911176 2150073 2866764 3822352 4300146 5733528 7644704 8600292 8839189 11467056 17200584 17678378 22934112 26517567 34401168 35356756 53035134 68802336 70713512 79552701 106070268 141427024 159105402 212140536 282854048 318210804 424281072 636421608 848562144 1272843216 2545686432