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551225420460 = 22325111321415129
BaseRepresentation
bin10000000010101111001…
…10000110101010101100
31221200210211212200201100
420001113212012222230
533012402201423320
61101121321443100
754552610523451
oct10012746065254
91850724780640
10551225420460
111a285641a030
128a9b8340490
133cc98a42660
141c9725bd828
15e512d85790
hex8057986aac

551225420460 has 144 divisors (see below), whose sum is σ = 1964367044640. Its totient is φ = 123351137280.

The previous prime is 551225420429. The next prime is 551225420519. The reversal of 551225420460 is 64024522155.

551225420460 is a `hidden beast` number, since 5 + 5 + 1 + 225 + 420 + 4 + 6 + 0 = 666.

It is a super-2 number, since 2×5512254204602 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10681825 + ... + 10733304.

It is an arithmetic number, because the mean of its divisors is an integer number (13641437810).

Almost surely, 2551225420460 is an apocalyptic number.

It is an amenable number.

551225420460 is an abundant number, since it is smaller than the sum of its proper divisors (1413141624180).

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

551225420460 is a wasteful number, since it uses less digits than its factorization.

551225420460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21415168 (or 21415163 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 551225420460 in words is "five hundred fifty-one billion, two hundred twenty-five million, four hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 21415129 42830258 64245387 85660516 107075645 128490774 192736161 214151290 235566419 256981548 278396677 321226935 385472322 428302580 471132838 556793354 642453870 706699257 770944644 835190031 942265676 963680805 1113586708 1177832095 1284907740 1391983385 1413398514 1670380062 1927361610 2120097771 2355664190 2505570093 2783966770 2826797028 3062363447 3340760124 3533496285 3854723220 4175950155 4240195542 4711328380 5011140186 5567933540 6124726894 7066992570 8351900310 8480391084 9187090341 10022280372 10600488855 12249453788 12527850465 14133985140 15311817235 16703800620 18374180682 21200977710 25055700930 27561271023 30623634470 36748361364 42401955420 45935451705 50111401860 55122542046 61247268940 91870903410 110245084092 137806355115 183741806820 275612710230 551225420460