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352542543150 = 23527521644443
BaseRepresentation
bin1010010000101010010…
…11000100110100101110
31020200222021222202212210
411020111023010310232
521234001342340100
6425542242111250
734320222113340
oct5102513046456
91220867882783
10352542543150
11126570090686
12583a994b526
1327324575025
14130c53d9290
159285384c50
hex52152c4d2e

352542543150 has 96 divisors (see below), whose sum is σ = 1001125709568. Its totient is φ = 80426361600.

The previous prime is 352542543149. The next prime is 352542543181. The reversal of 352542543150 is 51345245253.

It is a super-2 number, since 2×3525425431502 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352542543099 and 352542543108.

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 47 ways as a sum of consecutive naturals, for example, 224829 + ... + 869271.

It is an arithmetic number, because the mean of its divisors is an integer number (10428392808).

Almost surely, 2352542543150 is an apocalyptic number.

352542543150 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 352542543150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500562854784).

352542543150 is an abundant number, since it is smaller than the sum of its proper divisors (648583166418).

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

352542543150 is a wasteful number, since it uses less digits than its factorization.

352542543150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644986 (or 644981 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 352542543150 in words is "three hundred fifty-two billion, five hundred forty-two million, five hundred forty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 521 525 1042 1050 1563 2605 3126 3647 5210 7294 7815 10941 13025 15630 18235 21882 26050 36470 39075 54705 78150 91175 109410 182350 273525 547050 644443 1288886 1933329 3222215 3866658 4511101 6444430 9022202 9666645 13533303 16111075 19333290 22555505 27066606 32222150 45111010 48333225 67666515 96666450 112777525 135333030 225555050 335754803 338332575 671509606 676665150 1007264409 1678774015 2014528818 2350283621 3357548030 4700567242 5036322045 7050850863 8393870075 10072644090 11751418105 14101701726 16787740150 23502836210 25181610225 35254254315 50363220450 58757090525 70508508630 117514181050 176271271575 352542543150