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51284004480 = 273258903473
BaseRepresentation
bin101111110000110000…
…111100111010000000
311220101001220100122100
4233300300330322000
51320012201120410
635320510110400
73463602563022
oct576060747200
9156331810570
1051284004480
111a827535685
129b32aab400
134ab3a971a7
1426a708a012
1515024758c0
hexbf0c3ce80

51284004480 has 96 divisors (see below), whose sum is σ = 177090097860. Its totient is φ = 13675732992.

The previous prime is 51284004479. The next prime is 51284004487. The reversal of 51284004480 is 8440048215.

It can be written as a sum of positive squares in 2 ways, for example, as 46873982016 + 4410022464 = 216504^2 + 66408^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51284004487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4445977 + ... + 4457496.

Almost surely, 251284004480 is an apocalyptic number.

It is an amenable number.

51284004480 is an abundant number, since it is smaller than the sum of its proper divisors (125806093380).

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

51284004480 is a wasteful number, since it uses less digits than its factorization.

51284004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903498 (or 8903483 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 51284004480 in words is "fifty-one billion, two hundred eighty-four million, four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 8903473 17806946 26710419 35613892 44517365 53420838 71227784 80131257 89034730 106841676 133552095 142455568 160262514 178069460 213683352 267104190 284911136 320525028 356138920 400656285 427366704 534208380 569822272 641050056 712277840 801312570 854733408 1068416760 1139644544 1282100112 1424555680 1602625140 1709466816 2136833520 2564200224 2849111360 3205250280 3418933632 4273667040 5128400448 5698222720 6410500560 8547334080 10256800896 12821001120 17094668160 25642002240 51284004480