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4073586912 = 253216784697
BaseRepresentation
bin1111001011001110…
…0000000011100000
3101111220011122201100
43302303200003200
531320314240122
61512115034400
7202642626453
oct36263400340
911456148640
104073586912
11180048515a
1295829ba00
134cbc47a75
142a902b49a
1518c95daac
hexf2ce00e0

4073586912 has 72 divisors (see below), whose sum is σ = 11653767216. Its totient is φ = 1349715456.

The previous prime is 4073586827. The next prime is 4073586917. The reversal of 4073586912 is 2196853704.

4073586912 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×40735869122 = 33188220659235391488, which contains 22 as substring.

4073586912 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073586917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5748 + ... + 90444.

It is an arithmetic number, because the mean of its divisors is an integer number (161857878).

It is a 1-persistent number, because it is pandigital, but 2⋅4073586912 = 8147173824 is not.

Almost surely, 24073586912 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 4073586912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826883608).

4073586912 is an abundant number, since it is smaller than the sum of its proper divisors (7580180304).

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

4073586912 is a wasteful number, since it uses less digits than its factorization.

4073586912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84880 (or 84869 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4073586912 is about 63824.6575548980. The cubic root of 4073586912 is about 1597.0762898703.

The spelling of 4073586912 in words is "four billion, seventy-three million, five hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 12024 16032 24048 48096 84697 169394 254091 338788 508182 677576 762273 1016364 1355152 1524546 2032728 2710304 3049092 4065456 6098184 8130912 12196368 14144399 24392736 28288798 42433197 56577596 84866394 113155192 127299591 169732788 226310384 254599182 339465576 452620768 509198364 678931152 1018396728 1357862304 2036793456 4073586912