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38244198750 = 2354172326083
BaseRepresentation
bin100011100111100010…
…000010100101011110
310122201022012120222120
4203213202002211132
51111311003330000
625322533523410
72522504216502
oct434742024536
9118638176876
1038244198750
111524594262a
1274b3aa3566
1337b6399204
141bcb31c302
15edc7ae6a0
hex8e788295e

38244198750 has 160 divisors (see below), whose sum is σ = 105606395136. Its totient is φ = 9180864000.

The previous prime is 38244198703. The next prime is 38244198763. The reversal of 38244198750 is 5789144283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 38244198693 and 38244198702.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1453209 + ... + 1479291.

Almost surely, 238244198750 is an apocalyptic number.

38244198750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38244198750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52803197568).

38244198750 is an abundant number, since it is smaller than the sum of its proper divisors (67362196386).

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

38244198750 is a wasteful number, since it uses less digits than its factorization.

38244198750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26148 (or 26133 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 38244198750 in words is "thirty-eight billion, two hundred forty-four million, one hundred ninety-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 23 25 30 34 46 50 51 69 75 85 102 115 125 138 150 170 230 250 255 345 375 391 425 510 575 625 690 750 782 850 1150 1173 1250 1275 1725 1875 1955 2125 2346 2550 2875 3450 3750 3910 4250 5750 5865 6375 8625 9775 10625 11730 12750 14375 17250 19550 21250 26083 28750 29325 31875 43125 48875 52166 58650 63750 78249 86250 97750 130415 146625 156498 244375 260830 293250 391245 443411 488750 599909 652075 733125 782490 886822 1199818 1304150 1330233 1466250 1799727 1956225 2217055 2660466 2999545 3260375 3599454 3912450 4434110 5999090 6520750 6651165 8998635 9781125 10198453 11085275 13302330 14997725 16301875 17997270 19562250 20396906 22170550 29995450 30595359 32603750 33255825 44993175 48905625 50992265 55426375 61190718 66511650 74988625 89986350 97811250 101984530 110852750 149977250 152976795 166279125 224965875 254961325 277131875 305953590 332558250 374943125 449931750 509922650 554263750 749886250 764883975 831395625 1124829375 1274806625 1529767950 1662791250 2249658750 2549613250 3824419875 6374033125 7648839750 12748066250 19122099375 38244198750