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42347635000 = 2354114991543
BaseRepresentation
bin100111011100000111…
…011010000100111000
311001022021112202021221
4213130013122010320
51143211443310000
631242040441424
73026261646466
oct473407320470
9131267482257
1042347635000
1116a61154a60
12825a179274
133cbb5654b8
14209a2b9836
15117cb6761a
hex9dc1da138

42347635000 has 160 divisors (see below), whose sum is σ = 108527760000. Its totient is φ = 15358320000.

The previous prime is 42347634977. The next prime is 42347635009. The reversal of 42347635000 is 53674324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42347635009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 27444229 + ... + 27445771.

It is an arithmetic number, because the mean of its divisors is an integer number (678298500).

Almost surely, 242347635000 is an apocalyptic number.

42347635000 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 42347635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54263880000).

42347635000 is an abundant number, since it is smaller than the sum of its proper divisors (66180125000).

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

42347635000 is a wasteful number, since it uses less digits than its factorization.

42347635000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The spelling of 42347635000 in words is "forty-two billion, three hundred forty-seven million, six hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 499 500 550 625 998 1000 1100 1250 1375 1543 1996 2200 2495 2500 2750 3086 3992 4990 5000 5489 5500 6172 6875 7715 9980 10978 11000 12344 12475 13750 15430 16973 19960 21956 24950 27445 27500 30860 33946 38575 43912 49900 54890 55000 61720 62375 67892 77150 84865 99800 109780 124750 135784 137225 154300 169730 192875 219560 249500 274450 308600 311875 339460 385750 424325 499000 548900 623750 678920 686125 769957 771500 848650 964375 1097800 1247500 1372250 1539914 1543000 1697300 1928750 2121625 2495000 2744500 3079828 3394600 3430625 3849785 3857500 4243250 5489000 6159656 6861250 7699570 7715000 8469527 8486500 10608125 13722500 15399140 16939054 16973000 19248925 21216250 27445000 30798280 33878108 38497850 42347635 42432500 67756216 76995700 84695270 84865000 96244625 153991400 169390540 192489250 211738175 338781080 384978500 423476350 481223125 769957000 846952700 962446250 1058690875 1693905400 1924892500 2117381750 3849785000 4234763500 5293454375 8469527000 10586908750 21173817500 42347635000