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42563836524 = 2231122310112619
BaseRepresentation
bin100111101001000000…
…001001101001101100
311001212100100221000210
4213221000021221230
51144132320232044
631315322422420
73034525432566
oct475100115154
9131770327023
1042563836524
11170621a3400
1282ba661a10
1340242a2cb1
1420bacb8336
151191b221b9
hex9e9009a6c

42563836524 has 144 divisors (see below), whose sum is σ = 115048362240. Its totient is φ = 12214224000.

The previous prime is 42563836519. The next prime is 42563836531.

42563836524 is nontrivially palindromic in base 10.

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, 3366687 + ... + 3379305.

It is an arithmetic number, because the mean of its divisors is an integer number (798946960).

Almost surely, 242563836524 is an apocalyptic number.

42563836524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42563836524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57524181120).

42563836524 is an abundant number, since it is smaller than the sum of its proper divisors (72484525716).

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

42563836524 is a wasteful number, since it uses less digits than its factorization.

42563836524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 12759 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 42563836524 in words is "forty-two billion, five hundred sixty-three million, eight hundred thirty-six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 101 121 132 138 202 242 253 276 303 363 404 484 506 606 726 759 1012 1111 1212 1452 1518 2222 2323 2783 3036 3333 4444 4646 5566 6666 6969 8349 9292 11132 12221 12619 13332 13938 16698 24442 25238 25553 27876 33396 36663 37857 48884 50476 51106 73326 75714 76659 102212 138809 146652 151428 153318 277618 281083 290237 306636 416427 555236 562166 580474 832854 843249 870711 1124332 1160948 1274519 1526899 1665708 1686498 1741422 2549038 3053798 3192607 3372996 3482844 3823557 4580697 5098076 6107596 6385214 7647114 9161394 9577821 12770428 14019709 15294228 18322788 19155642 28039418 29313937 35118677 38311284 42059127 56078836 58627874 70237354 84118254 87941811 105356031 117255748 140474708 154216799 168236508 175883622 210712062 308433598 322453307 351767244 421424124 462650397 616867196 644906614 925300794 967359921 1289813228 1850601588 1934719842 3546986377 3869439684 7093972754 10640959131 14187945508 21281918262 42563836524