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38203047900 = 223352130310859
BaseRepresentation
bin100011100101000101…
…000011111111011100
310122121102202220122000
4203211011003333130
51111214440013100
625314503522300
72521464356253
oct434505037734
9118542686560
1038203047900
1115224696366
1274a2159390
1337aa9bb8b4
141bc5a8979a
15ed8d81900
hex8e5143fdc

38203047900 has 144 divisors (see below), whose sum is σ = 122921299200. Its totient is φ = 10178723520.

The previous prime is 38203047893. The next prime is 38203047913. The reversal of 38203047900 is 974030283.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3512671 + ... + 3523529.

Almost surely, 238203047900 is an apocalyptic number.

38203047900 is a gapful number since it is divisible by the number (30) 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 38203047900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61460649600).

38203047900 is an abundant number, since it is smaller than the sum of its proper divisors (84718251300).

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

38203047900 is a wasteful number, since it uses less digits than its factorization.

38203047900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185 (or 12172 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 38203047900 its sum of digits (36), we get a square (38203047936 = 1954562).

The spelling of 38203047900 in words is "thirty-eight billion, two hundred three million, forty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1303 1350 2606 2700 3909 5212 6515 7818 10859 11727 13030 15636 19545 21718 23454 26060 32575 32577 35181 39090 43436 46908 54295 58635 65150 65154 70362 78180 97725 97731 108590 117270 130300 130308 140724 162885 175905 195450 195462 217180 234540 271475 293175 293193 325770 351810 390900 390924 488655 542950 586350 586386 651540 703620 814425 879525 977310 1085900 1172700 1172772 1465965 1628850 1759050 1954620 2443275 2931930 3257700 3518100 4886550 5863860 7329825 9773100 14149277 14659650 28298554 29319300 42447831 56597108 70746385 84895662 127343493 141492770 169791324 212239155 254686986 282985540 353731925 382030479 424478310 509373972 636717465 707463850 764060958 848956620 1061195775 1273434930 1414927700 1528121916 1910152395 2122391550 2546869860 3183587325 3820304790 4244783100 6367174650 7640609580 9550761975 12734349300 19101523950 38203047900