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1018900050 = 235274322567
BaseRepresentation
bin111100101110110…
…010111001010010
32122000020111002220
4330232302321102
54041314300200
6245034321510
734151336040
oct7456627122
92560214086
101018900050
11483162763
12245289296
13133126a4c
149946b390
155e6b64a0
hex3cbb2e52

1018900050 has 96 divisors (see below), whose sum is σ = 2955144192. Its totient is φ = 227465280.

The previous prime is 1018900031. The next prime is 1018900067. The reversal of 1018900050 is 500098101.

1018900050 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10189000503 (a number of 28 digits) contains 333 as substring.

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, 33867 + ... + 56433.

It is an arithmetic number, because the mean of its divisors is an integer number (30782752).

Almost surely, 21018900050 is an apocalyptic number.

1018900050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018900050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477572096).

1018900050 is an abundant number, since it is smaller than the sum of its proper divisors (1936244142).

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

1018900050 is a wasteful number, since it uses less digits than its factorization.

1018900050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22632 (or 22627 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 1018900050 is about 31920.2138150734. The cubic root of 1018900050 is about 1006.2607380257.

Adding to 1018900050 its reverse (500098101), we get a palindrome (1518998151).

The spelling of 1018900050 in words is "one billion, eighteen million, nine hundred thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 129 150 175 210 215 258 301 350 430 525 602 645 903 1050 1075 1290 1505 1806 2150 3010 3225 4515 6450 7525 9030 15050 22567 22575 45134 45150 67701 112835 135402 157969 225670 315938 338505 473907 564175 677010 789845 947814 970381 1128350 1579690 1692525 1940762 2369535 2911143 3385050 3949225 4739070 4851905 5822286 6792667 7898450 9703810 11847675 13585334 14555715 20378001 23695350 24259525 29111430 33963335 40756002 48519050 67926670 72778575 101890005 145557150 169816675 203780010 339633350 509450025 1018900050