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38705084250 = 2353723320539
BaseRepresentation
bin100100000011000000…
…001011011101011010
310200220102110000000220
4210003000023131122
51113232000144000
625440400140510
72540101534140
oct440300133532
9120812400026
1038705084250
1115462013738
127602307736
13385aa07821
141c32611590
151017e9d1a0
hex90300b75a

38705084250 has 128 divisors (see below), whose sum is σ = 115209768960. Its totient is φ = 8462203200.

The previous prime is 38705084179. The next prime is 38705084267. The reversal of 38705084250 is 5248050783.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39520 + ... + 281019.

It is an arithmetic number, because the mean of its divisors is an integer number (900076320).

Almost surely, 238705084250 is an apocalyptic number.

38705084250 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 38705084250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57604884480).

38705084250 is an abundant number, since it is smaller than the sum of its proper divisors (76504684710).

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

38705084250 is a wasteful number, since it uses less digits than its factorization.

38705084250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320589 (or 320579 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 38705084250 in words is "thirty-eight billion, seven hundred five million, eighty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 125 138 150 161 175 210 230 250 322 345 350 375 483 525 575 690 750 805 875 966 1050 1150 1610 1725 1750 2415 2625 2875 3450 4025 4830 5250 5750 8050 8625 12075 17250 20125 24150 40250 60375 120750 320539 641078 961617 1602695 1923234 2243773 3205390 4487546 4808085 6731319 7372397 8013475 9616170 11218865 13462638 14744794 16026950 22117191 22437730 24040425 33656595 36861985 40067375 44234382 48080850 51606779 56094325 67313190 73723970 80134750 103213558 110585955 112188650 120202125 154820337 168282975 184309925 221171910 240404250 258033895 280471625 309640674 336565950 368619850 516067790 552929775 560943250 774101685 841414875 921549625 1105859550 1290169475 1548203370 1682829750 1843099250 2580338950 2764648875 3870508425 5529297750 6450847375 7741016850 12901694750 19352542125 38705084250