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32442622050 = 23525911332441
BaseRepresentation
bin11110001101101110…
…110010000001100010
310002201222111221220110
4132031232302001202
51012420302401200
622523125552150
72225646510636
oct361556620142
9102658457813
1032442622050
1112839018143
126354b75656
1330a0454ba7
1417daa00dc6
15c9d2bdb50
hex78dbb2062

32442622050 has 96 divisors (see below), whose sum is σ = 82548020160. Its totient is φ = 8429209600.

The previous prime is 32442622031. The next prime is 32442622057. The reversal of 32442622050 is 5022624423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32442621999 and 32442622017.

It is not an unprimeable number, because it can be changed into a prime (32442622057) by changing a digit.

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, 983830 + ... + 1016270.

It is an arithmetic number, because the mean of its divisors is an integer number (859875210).

Almost surely, 232442622050 is an apocalyptic number.

32442622050 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 32442622050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41274010080).

32442622050 is an abundant number, since it is smaller than the sum of its proper divisors (50105398110).

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

32442622050 is a wasteful number, since it uses less digits than its factorization.

32442622050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32628 (or 32623 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 32442622050 in words is "thirty-two billion, four hundred forty-two million, six hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 113 118 150 177 226 295 339 354 565 590 678 885 1130 1475 1695 1770 2825 2950 3390 4425 5650 6667 8475 8850 13334 16950 20001 32441 33335 40002 64882 66670 97323 100005 162205 166675 194646 200010 324410 333350 486615 500025 811025 973230 1000050 1622050 1914019 2433075 3665833 3828038 4866150 5742057 7331666 9570095 10997499 11484114 18329165 19140190 21994998 28710285 36658330 47850475 54987495 57420570 91645825 95700950 109974990 143551425 183291650 216284147 274937475 287102850 432568294 549874950 648852441 1081420735 1297704882 2162841470 3244262205 5407103675 6488524410 10814207350 16221311025 32442622050