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551461103640 = 233352631941491
BaseRepresentation
bin10000000011001011010…
…01001010100000011000
31221201102021100122021000
420001211221022200120
533013343020304030
61101200541145000
754561502016436
oct10014551124030
91851367318230
10551461103640
111a2967464317
128aa6325b160
1340005811665
141c995a0dd56
15e5288dc860
hex8065a4a818

551461103640 has 128 divisors (see below), whose sum is σ = 1845193996800. Its totient is φ = 146497069440.

The previous prime is 551461103623. The next prime is 551461103659. The reversal of 551461103640 is 46301164155.

551461103640 is a `hidden beast` number, since 5 + 5 + 1 + 4 + 6 + 1 + 1 + 0 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 551461103595 and 551461103604.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 686706 + ... + 1254785.

It is an arithmetic number, because the mean of its divisors is an integer number (14415578100).

Almost surely, 2551461103640 is an apocalyptic number.

It is an amenable number.

551461103640 is an abundant number, since it is smaller than the sum of its proper divisors (1293732893160).

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

551461103640 is a wasteful number, since it uses less digits than its factorization.

551461103640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941774 (or 1941764 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 551461103640 its reverse (46301164155), we get a palindrome (597762267795).

The spelling of 551461103640 in words is "five hundred fifty-one billion, four hundred sixty-one million, one hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 263 270 360 526 540 789 1052 1080 1315 1578 2104 2367 2630 3156 3945 4734 5260 6312 7101 7890 9468 10520 11835 14202 15780 18936 23670 28404 31560 35505 47340 56808 71010 94680 142020 284040 1941491 3882982 5824473 7765964 9707455 11648946 15531928 17473419 19414910 23297892 29122365 34946838 38829820 46595784 52420257 58244730 69893676 77659640 87367095 104840514 116489460 139787352 174734190 209681028 232978920 262101285 349468380 419362056 510612133 524202570 698936760 1021224266 1048405140 1531836399 2042448532 2096810280 2553060665 3063672798 4084897064 4595509197 5106121330 6127345596 7659181995 9191018394 10212242660 12254691192 13786527591 15318363990 18382036788 20424485320 22977545985 27573055182 30636727980 36764073576 45955091970 55146110364 61273455960 68932637955 91910183940 110292220728 137865275910 183820367880 275730551820 551461103640