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536443661424 = 243116154730449
BaseRepresentation
bin1111100111001101000…
…10001010110001110000
31220021122200101112100110
413303212202022301300
532242114034131144
61050234441221320
753520400613166
oct7634642126160
91807580345313
10536443661424
11197560509750
1287b71a91840
133b781499488
141bd6d369236
15de4a2d00b9
hex7ce688ac70

536443661424 has 160 divisors (see below), whose sum is σ = 1539438969600. Its totient is φ = 159596236800.

The previous prime is 536443661399. The next prime is 536443661443. The reversal of 536443661424 is 424166344635.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17602552 + ... + 17633000.

It is an arithmetic number, because the mean of its divisors is an integer number (9621493560).

Almost surely, 2536443661424 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 536443661424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769719484800).

536443661424 is an abundant number, since it is smaller than the sum of its proper divisors (1002995308176).

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

536443661424 is a wasteful number, since it uses less digits than its factorization.

536443661424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31079 (or 31073 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 48.

The spelling of 536443661424 in words is "five hundred thirty-six billion, four hundred forty-three million, six hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 547 671 732 976 1094 1342 1464 1641 2013 2188 2684 2928 3282 4026 4376 5368 6017 6564 8052 8752 10736 12034 13128 16104 18051 24068 26256 30449 32208 33367 36102 48136 60898 66734 72204 91347 96272 100101 121796 133468 144408 182694 200202 243592 266936 288816 334939 365388 367037 400404 487184 533872 669878 730776 734074 800808 1004817 1101111 1339756 1461552 1468148 1601616 1857389 2009634 2202222 2679512 2936296 3714778 4019268 4404444 5359024 5572167 5872592 7429556 8038536 8808888 11144334 14859112 16077072 16655603 17617776 20431279 22288668 29718224 33311206 40862558 44577336 49966809 61293837 66622412 81725116 89154672 99933618 122587674 133244824 163450232 183211633 199867236 245175348 266489648 326900464 366423266 399734472 490350696 549634899 732846532 799468944 980701392 1015991783 1099269798 1465693064 2031983566 2198539596 2931386128 3047975349 4063967132 4397079192 6095950698 8127934264 8794158384 11175909613 12191901396 16255868528 22351819226 24383802792 33527728839 44703638452 48767605584 67055457678 89407276904 134110915356 178814553808 268221830712 536443661424