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42752327508 = 223211613834621
BaseRepresentation
bin100111110100001111…
…001011111101010100
311002100111001021001100
4213310033023331110
51200024043440013
631350134430100
73042304534152
oct476417137524
9132314037040
1042752327508
1117149635480
128351802330
13405435a917
1420d7d423d2
1511a3456473
hex9f43cbf54

42752327508 has 144 divisors (see below), whose sum is σ = 120164308992. Its totient is φ = 12706848000.

The previous prime is 42752327503. The next prime is 42752327551. The reversal of 42752327508 is 80572325724.

42752327508 is a `hidden beast` number, since 4 + 275 + 2 + 327 + 50 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42752327503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9249438 + ... + 9254058.

It is an arithmetic number, because the mean of its divisors is an integer number (834474368).

Almost surely, 242752327508 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 42752327508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60082154496).

42752327508 is an abundant number, since it is smaller than the sum of its proper divisors (77411981484).

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

42752327508 is a wasteful number, since it uses less digits than its factorization.

42752327508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 42752327508 in words is "forty-two billion, seven hundred fifty-two million, three hundred twenty-seven thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 383 396 549 671 732 766 1098 1149 1342 1532 2013 2196 2298 2684 3447 4026 4213 4596 4621 6039 6894 8052 8426 9242 12078 12639 13788 13863 16852 18484 23363 24156 25278 27726 37917 41589 46726 50556 50831 55452 70089 75834 83178 93452 101662 140178 151668 152493 166356 203324 210267 256993 280356 281881 304986 420534 457479 513986 563762 609972 770979 841068 845643 914958 1027972 1127524 1541958 1691286 1769843 1829916 2312937 2536929 3083916 3100691 3382572 3539686 4625874 5073858 5309529 6201382 7079372 9251748 9302073 10147716 10619058 12402764 15928587 18604146 19468273 21238116 27906219 31857174 37208292 38936546 55812438 58404819 63714348 77873092 107960423 111624876 116809638 175214457 215920846 233619276 323881269 350428914 431841692 647762538 700857828 971643807 1187564653 1295525076 1943287614 2375129306 3562693959 3886575228 4750258612 7125387918 10688081877 14250775836 21376163754 42752327508