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47620342000 = 2453711309223
BaseRepresentation
bin101100010110011001…
…001100000011110000
311112220202002000112101
4230112121030003300
51240011301421000
633513153110144
73304035141220
oct542631140360
9145822060471
1047620342000
1119217494850
12928bb58354
13464ba5707a
14243a688080
15138a9dae6a
hexb1664c0f0

47620342000 has 160 divisors (see below), whose sum is σ = 143559097344. Its totient is φ = 14842656000.

The previous prime is 47620341997. The next prime is 47620342001. The reversal of 47620342000 is 24302674.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 47620342000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47620342001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612 + ... + 308611.

Almost surely, 247620342000 is an apocalyptic number.

47620342000 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 47620342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71779548672).

47620342000 is an abundant number, since it is smaller than the sum of its proper divisors (95938755344).

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

47620342000 is a wasteful number, since it uses less digits than its factorization.

47620342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309264 (or 309248 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 47620342000 its reverse (24302674), we get a palindrome (47644644674).

The spelling of 47620342000 in words is "forty-seven billion, six hundred twenty million, three hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 309223 618446 1236892 1546115 2164561 2473784 3092230 3401453 4329122 4947568 6184460 6802906 7730575 8658244 10822805 12368920 13605812 15461150 17007265 17316488 21645610 23810171 24737840 27211624 30922300 34014530 34632976 38652875 43291220 47620342 54114025 54423248 61844600 68029060 77305750 85036325 86582440 95240684 108228050 119050855 123689200 136058120 154611500 170072650 173164880 190481368 216456100 238101710 270570125 272116240 309223000 340145300 380962736 425181625 432912200 476203420 541140250 595254275 618446000 680290600 850363250 865824400 952406840 1082280500 1190508550 1360581200 1700726500 1904813680 2164561000 2381017100 2976271375 3401453000 4329122000 4762034200 5952542750 6802906000 9524068400 11905085500 23810171000 47620342000