Search a number
-
+
1683851022084 = 22371141167266153
BaseRepresentation
bin11000100000001101010…
…101111000111100000100
312221222022110202202010210
4120200031111320330010
5210042011330201314
63325314523115420
7232440253350210
oct30401525707404
95858273682123
101683851022084
1159a132005450
12232412372b70
13c2a2bb4a93a
145b6daab9940
152dc02beb559
hex1880d578f04

1683851022084 has 192 divisors, whose sum is σ = 5048017293312. Its totient is φ = 424139827200.

The previous prime is 1683851022041. The next prime is 1683851022149. The reversal of 1683851022084 is 4802201583861.

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 63 ways as a sum of consecutive naturals, for example, 6193552 + ... + 6459704.

It is an arithmetic number, because the mean of its divisors is an integer number (26291756736).

Almost surely, 21683851022084 is an apocalyptic number.

1683851022084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683851022084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524008646656).

1683851022084 is an abundant number, since it is smaller than the sum of its proper divisors (3364166271228).

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

1683851022084 is a wasteful number, since it uses less digits than its factorization.

1683851022084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266386 (or 266384 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 1683851022084 in words is "one trillion, six hundred eighty-three billion, eight hundred fifty-one million, twenty-two thousand, eighty-four".