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5463635040 = 253254388237
BaseRepresentation
bin1010001011010100…
…00111010001100000
3112002202210102021100
411011222013101200
542142142310130
62302052354400
7252252063063
oct50552072140
915082712240
105463635040
112354096966
121085915a00
13690c20856
1439b8ac8da
1521e9d9c60
hex145a87460

5463635040 has 144 divisors (see below), whose sum is σ = 19078467408. Its totient is φ = 1423070208.

The previous prime is 5463635017. The next prime is 5463635057. The reversal of 5463635040 is 405363645.

5463635040 is a `hidden beast` number, since 546 + 3 + 63 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 5463634986 and 5463635004.

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 23 ways as a sum of consecutive naturals, for example, 17802 + ... + 106038.

It is an arithmetic number, because the mean of its divisors is an integer number (132489357).

Almost surely, 25463635040 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 5463635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9539233704).

5463635040 is an abundant number, since it is smaller than the sum of its proper divisors (13614832368).

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

5463635040 is a wasteful number, since it uses less digits than its factorization.

5463635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88301 (or 88290 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5463635040 is about 73916.4057567736. The cubic root of 5463635040 is about 1761.2752293752.

Adding to 5463635040 its reverse (405363645), we get a palindrome (5868998685).

It can be divided in two parts, 54636 and 35040, that added together give a triangular number (89676 = T423).

The spelling of 5463635040 in words is "five billion, four hundred sixty-three million, six hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 1032 1290 1376 1440 1548 1720 1935 2064 2580 3096 3440 3870 4128 5160 6192 6880 7740 10320 12384 15480 20640 30960 61920 88237 176474 264711 352948 441185 529422 705896 794133 882370 1058844 1323555 1411792 1588266 1764740 2117688 2647110 2823584 3176532 3529480 3794191 3970665 4235376 5294220 6353064 7058960 7588382 7941330 8470752 10588440 11382573 12706128 14117920 15176764 15882660 18970955 21176880 22765146 25412256 30353528 31765320 34147719 37941910 42353760 45530292 56912865 60707056 63530640 68295438 75883820 91060584 113825730 121414112 127061280 136590876 151767640 170738595 182121168 227651460 273181752 303535280 341477190 364242336 455302920 546363504 607070560 682954380 910605840 1092727008 1365908760 1821211680 2731817520 5463635040