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1043116416 = 27321947657
BaseRepresentation
bin111110001011001…
…011000110000000
32200200210210201100
4332023023012000
54114014211131
6251301334400
734564225506
oct7613130600
92620723640
101043116416
114958a2891
12251407400
13138155364
149c772676
156189b7e6
hex3e2cb180

1043116416 has 96 divisors (see below), whose sum is σ = 3159725400. Its totient is φ = 329398272.

The previous prime is 1043116411. The next prime is 1043116423. The reversal of 1043116416 is 6146113401.

1043116416 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 11 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1043116416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1043116411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1941 + ... + 45716.

Almost surely, 21043116416 is an apocalyptic number.

1043116416 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 1043116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579862700).

1043116416 is an abundant number, since it is smaller than the sum of its proper divisors (2116608984).

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

1043116416 is a wasteful number, since it uses less digits than its factorization.

1043116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47696 (or 47681 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1043116416 is about 32297.3128293981. The cubic root of 1043116416 is about 1014.1703902360.

Adding to 1043116416 its reverse (6146113401), we get a palindrome (7189229817).

The spelling of 1043116416 in words is "one billion, forty-three million, one hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 47657 95314 142971 190628 285942 381256 428913 571884 762512 857826 905483 1143768 1525024 1715652 1810966 2287536 2716449 3050048 3431304 3621932 4575072 5432898 6100096 6862608 7243864 8149347 9150144 10865796 13725216 14487728 16298694 18300288 21731592 27450432 28975456 32597388 43463184 54900864 57950912 65194776 86926368 115901824 130389552 173852736 260779104 347705472 521558208 1043116416