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42324845160 = 23351327919721
BaseRepresentation
bin100111011010110000…
…011110001001101000
311001020200122220111210
4213122300132021220
51143140130021120
631235504153120
73025564151013
oct473260361150
9131220586453
1042324845160
1116a4a2a9684
1282526087a0
133cb69162a0
14209726637a
15117ab64ce0
hex9dac1e268

42324845160 has 128 divisors (see below), whose sum is σ = 136804872960. Its totient is φ = 10413619200.

The previous prime is 42324845159. The next prime is 42324845183. The reversal of 42324845160 is 6154842324.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4349100 + ... + 4358820.

It is an arithmetic number, because the mean of its divisors is an integer number (1068788070).

Almost surely, 242324845160 is an apocalyptic number.

42324845160 is a gapful number since it is divisible by the number (40) 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 42324845160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68402436480).

42324845160 is an abundant number, since it is smaller than the sum of its proper divisors (94480027800).

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

42324845160 is a wasteful number, since it uses less digits than its factorization.

42324845160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12539 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 42324845160 in words is "forty-two billion, three hundred twenty-four million, eight hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2791 5582 8373 9721 11164 13955 16746 19442 22328 27910 29163 33492 36283 38884 41865 48605 55820 58326 66984 72566 77768 83730 97210 108849 111640 116652 126373 145132 145815 167460 181415 194420 217698 233304 252746 290264 291630 334920 362830 379119 388840 435396 505492 544245 583260 631865 725660 758238 870792 1010984 1088490 1166520 1263730 1451320 1516476 1895595 2176980 2527460 3032952 3791190 4353960 5054920 7582380 15164760 27131311 54262622 81393933 108525244 135656555 162787866 217050488 271313110 325575732 352707043 406969665 542626220 651151464 705414086 813939330 1058121129 1085252440 1410828172 1627878660 1763535215 2116242258 2821656344 3255757320 3527070430 4232484516 5290605645 7054140860 8464969032 10581211290 14108281720 21162422580 42324845160