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2041264512 = 27327253133
BaseRepresentation
bin111100110101011…
…0011100110000000
312021020222222111100
41321222303212000
513140030431022
6534315214400
7101404314330
oct17152634600
95236888440
102041264512
11958271271
1248b747400
13266b94631
1415515b0c0
15be3141ac
hex79ab3980

2041264512 has 96 divisors (see below), whose sum is σ = 6713113680. Its totient is φ = 583216128.

The previous prime is 2041264493. The next prime is 2041264529. The reversal of 2041264512 is 2154621402.

2041264512 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 2 + 645 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118503 + ... + 134630.

Almost surely, 22041264512 is an apocalyptic number.

It is an amenable number.

2041264512 is an abundant number, since it is smaller than the sum of its proper divisors (4671849168).

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

2041264512 is a wasteful number, since it uses less digits than its factorization.

2041264512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253160 (or 253145 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2041264512 is about 45180.3553770884. The cubic root of 2041264512 is about 1268.5271353974.

Adding to 2041264512 its reverse (2154621402), we get a palindrome (4195885914).

It can be divided in two parts, 20412 and 64512, that multiplied together give a square (1316818944 = 362882).

The spelling of 2041264512 in words is "two billion, forty-one million, two hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 253133 506266 759399 1012532 1518798 1771931 2025064 2278197 3037596 3543862 4050128 4556394 5315793 6075192 7087724 8100256 9112788 10631586 12150384 14175448 15947379 16200512 18225576 21263172 24300768 28350896 31894758 32401024 36451152 42526344 48601536 56701792 63789516 72902304 85052688 97203072 113403584 127579032 145804608 170105376 226807168 255158064 291609216 340210752 510316128 680421504 1020632256 2041264512