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4775380992 = 211325092
BaseRepresentation
bin1000111001010001…
…01000100000000000
3110022210201111012200
410130220220200000
534234444142432
62105504553200
7226224032364
oct43450504000
913283644180
104775380992
11203063a468
12b13322800
135b1464935
143343112a4
151ce387a7c
hex11ca28800

4775380992 has 108 divisors (see below), whose sum is σ = 13819326885. Its totient is φ = 1588666368.

The previous prime is 4775380991. The next prime is 4775381011. The reversal of 4775380992 is 2990835774.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4775380992 is a `hidden beast` number, since 477 + 5 + 3 + 80 + 9 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4248953856 + 526427136 = 65184^2 + 22944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=48864.

It is not an unprimeable number, because it can be changed into a prime (4775380991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9381634 + ... + 9382142.

Almost surely, 24775380992 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 4775380992

4775380992 is an abundant number, since it is smaller than the sum of its proper divisors (9043945893).

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

4775380992 is an frugal number, since it uses more digits than its factorization.

4775380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 4775380992 is about 69104.1315117989. The cubic root of 4775380992 is about 1683.9764310075.

The spelling of 4775380992 in words is "four billion, seven hundred seventy-five million, three hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 509 512 576 768 1018 1024 1152 1527 1536 2036 2048 2304 3054 3072 4072 4581 4608 6108 6144 8144 9162 9216 12216 16288 18324 18432 24432 32576 36648 48864 65152 73296 97728 130304 146592 195456 259081 260608 293184 390912 518162 521216 586368 777243 781824 1036324 1042432 1172736 1554486 1563648 2072648 2331729 2345472 3108972 3127296 4145296 4663458 4690944 6217944 8290592 9326916 9381888 12435888 16581184 18653832 24871776 33162368 37307664 49743552 66324736 74615328 99487104 132649472 149230656 198974208 265298944 298461312 397948416 530597888 596922624 795896832 1193845248 1591793664 2387690496 4775380992