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352283612850 = 2325213347173543
BaseRepresentation
bin1010010000001011011…
…11010101011010110010
31020200022020202202021200
411020011233111122302
521232434101102400
6425500432232030
734310626205451
oct5100557253262
91220266682250
10352283612850
11126447a084a4
125833709b616
13272b2a26930
141309cc76b98
15926c789b00
hex5205bd56b2

352283612850 has 144 divisors (see below), whose sum is σ = 1022217198912. Its totient is φ = 86465566080.

The previous prime is 352283612827. The next prime is 352283612861. The reversal of 352283612850 is 58216382253.

352283612850 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 8 + 361 + 285 + 0 = 666.

352283612850 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 352283612796 and 352283612805.

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 71 ways as a sum of consecutive naturals, for example, 1943179 + ... + 2116721.

It is an arithmetic number, because the mean of its divisors is an integer number (7098730548).

Almost surely, 2352283612850 is an apocalyptic number.

352283612850 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 352283612850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511108599456).

352283612850 is an abundant number, since it is smaller than the sum of its proper divisors (669933586062).

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

352283612850 is a wasteful number, since it uses less digits than its factorization.

352283612850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173921 (or 173913 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 352283612850 in words is "three hundred fifty-two billion, two hundred eighty-three million, six hundred twelve thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 347 390 450 585 650 694 975 1041 1170 1735 1950 2082 2925 3123 3470 4511 5205 5850 6246 8675 9022 10410 13533 15615 17350 22555 26025 27066 31230 40599 45110 52050 67665 78075 81198 112775 135330 156150 173543 202995 225550 338325 347086 405990 520629 676650 867715 1014975 1041258 1561887 1735430 2029950 2256059 2603145 3123774 4338575 4512118 5206290 6768177 7809435 8677150 11280295 13015725 13536354 15618870 20304531 22560590 26031450 33840885 39047175 40609062 56401475 60219421 67681770 78094350 101522655 112802950 120438842 169204425 180658263 203045310 301097105 338408850 361316526 507613275 541974789 602194210 782852473 903291315 1015226550 1083949578 1505485525 1565704946 1806582630 2348557419 2709873945 3010971050 3914262365 4516456575 4697114838 5419747890 7045672257 7828524730 9032913150 11742787095 13549369725 14091344514 19571311825 23485574190 27098739450 35228361285 39142623650 58713935475 70456722570 117427870950 176141806425 352283612850