Search a number
-
+
1946903466816 = 263371122945869
BaseRepresentation
bin11100010101001100011…
…111010101001101000000
320220010022001100111101000
4130111030133111031000
5223344224241414231
64050221202012000
7260442040263540
oct34251437251500
96803261314330
101946903466816
1169074a284600
122753a6047000
131117911115b9
146a332bc9320
153599b8766e6
hex1c54c7d5340

1946903466816 has 672 divisors, whose sum is σ = 7437985632000. Its totient is φ = 488241008640.

The previous prime is 1946903466773. The next prime is 1946903466841. The reversal of 1946903466816 is 6186643096491.

1946903466816 is a `hidden beast` number, since 1 + 9 + 4 + 6 + 90 + 3 + 466 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×19469034668162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 42421930 + ... + 42467798.

It is an arithmetic number, because the mean of its divisors is an integer number (11068431000).

Almost surely, 21946903466816 is an apocalyptic number.

1946903466816 is a gapful number since it is divisible by the number (16) 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 1946903466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718992816000).

1946903466816 is an abundant number, since it is smaller than the sum of its proper divisors (5491082165184).

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

1946903466816 is a wasteful number, since it uses less digits than its factorization.

1946903466816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45948 (or 45921 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 1946903466816 in words is "one trillion, nine hundred forty-six billion, nine hundred three million, four hundred sixty-six thousand, eight hundred sixteen".