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463673204540 = 225721343846397
BaseRepresentation
bin1101011111101010001…
…00111001111100111100
31122022211011221022002122
412233311010321330330
530044100320021130
6553001501542112
745333153131600
oct6576504717474
91568734838078
10463673204540
11169708488397
1275a43274938
1334955099930
141862881d500
15c0db86d2e5
hex6bf5139f3c

463673204540 has 144 divisors (see below), whose sum is σ = 1248186516192. Its totient is φ = 143332084224.

The previous prime is 463673204531. The next prime is 463673204567. The reversal of 463673204540 is 45402376364.

It is a super-2 number, since 2×4636732045402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463673204491 and 463673204500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124622 + ... + 971018.

It is an arithmetic number, because the mean of its divisors is an integer number (8667961918).

Almost surely, 2463673204540 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 463673204540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624093258096).

463673204540 is an abundant number, since it is smaller than the sum of its proper divisors (784513311652).

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

463673204540 is a wasteful number, since it uses less digits than its factorization.

463673204540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846476 (or 846467 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 44.

The spelling of 463673204540 in words is "four hundred sixty-three billion, six hundred seventy-three million, two hundred four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 49 52 65 70 86 91 98 130 140 172 182 196 215 245 260 301 364 430 455 490 559 602 637 860 910 980 1118 1204 1274 1505 1820 2107 2236 2548 2795 3010 3185 3913 4214 5590 6020 6370 7826 8428 10535 11180 12740 15652 19565 21070 27391 39130 42140 54782 78260 109564 136955 273910 547820 846397 1692794 3385588 4231985 5924779 8463970 11003161 11849558 16927940 22006322 23699116 29623895 36395071 41473453 44012644 55015805 59247790 72790142 77022127 82946906 110031610 118495580 145580284 154044254 165893812 181975355 207367265 220063220 254765497 308088508 363950710 385110635 414734530 473135923 509530994 539154889 727901420 770221270 829469060 946271846 1019061988 1078309778 1273827485 1540442540 1783358479 1892543692 2156619556 2365679615 2547654970 2695774445 3311951461 3566716958 4731359230 5095309940 5391548890 6623902922 7133433916 8916792395 9462718460 10783097780 13247805844 16559757305 17833584790 23183660227 33119514610 35667169580 46367320454 66239029220 92734640908 115918301135 231836602270 463673204540