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1946408868 = 22321913720771
BaseRepresentation
bin111010000000011…
…1101011110100100
312000122111211000100
41310000331132210
512441240040433
6521050144100
766143126265
oct16400753644
95018454010
101946408868
11909773878
12463a22030
13250332531
1414670896c
15b5d28b13
hex7403d7a4

1946408868 has 72 divisors (see below), whose sum is σ = 5217095520. Its totient is φ = 610139520.

The previous prime is 1946408861. The next prime is 1946408869. The reversal of 1946408868 is 8688046491.

It is not an unprimeable number, because it can be changed into a prime (1946408861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83323 + ... + 104093.

It is an arithmetic number, because the mean of its divisors is an integer number (72459660).

Almost surely, 21946408868 is an apocalyptic number.

1946408868 is a gapful number since it is divisible by the number (18) 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 1946408868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608547760).

1946408868 is an abundant number, since it is smaller than the sum of its proper divisors (3270686652).

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

1946408868 is a wasteful number, since it uses less digits than its factorization.

1946408868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20937 (or 20932 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 1946408868 is about 44118.1240308334. The cubic root of 1946408868 is about 1248.5655797538.

The spelling of 1946408868 in words is "one billion, nine hundred forty-six million, four hundred eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 137 171 228 274 342 411 548 684 822 1233 1644 2466 2603 4932 5206 7809 10412 15618 20771 23427 31236 41542 46854 62313 83084 93708 124626 186939 249252 373878 394649 747756 789298 1183947 1578596 2367894 2845627 3551841 4735788 5691254 7103682 8536881 11382508 14207364 17073762 25610643 34147524 51221286 54066913 102442572 108133826 162200739 216267652 324401478 486602217 648802956 973204434 1946408868