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1644378912 = 2532113111669
BaseRepresentation
bin110001000000011…
…0011101100100000
311020121012002210200
41202000303230200
511331430111122
6431100425200
755514663421
oct14200635440
94217162720
101644378912
11774233240
1239a848200
132028a3797
14118567648
15995685ac
hex62033b20

1644378912 has 144 divisors (see below), whose sum is σ = 5120781120. Its totient is φ = 496396800.

The previous prime is 1644378899. The next prime is 1644378913. The reversal of 1644378912 is 2198734461.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×16443789123 (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1644378913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984414 + ... + 986082.

It is an arithmetic number, because the mean of its divisors is an integer number (35560980).

Almost surely, 21644378912 is an apocalyptic number.

1644378912 is a gapful number since it is divisible by the number (12) 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 1644378912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560390560).

1644378912 is an abundant number, since it is smaller than the sum of its proper divisors (3476402208).

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

1644378912 is a wasteful number, since it uses less digits than its factorization.

1644378912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1996 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1644378912 is about 40550.9421838753. The cubic root of 1644378912 is about 1180.3223556722.

The spelling of 1644378912 in words is "one billion, six hundred forty-four million, three hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 311 352 396 528 622 792 933 1056 1244 1584 1669 1866 2488 2799 3168 3338 3421 3732 4976 5007 5598 6676 6842 7464 9952 10014 10263 11196 13352 13684 14928 15021 18359 20028 20526 22392 26704 27368 29856 30042 30789 36718 40056 41052 44784 53408 54736 55077 60084 61578 73436 80112 82104 89568 109472 110154 120168 123156 146872 160224 164208 165231 220308 240336 246312 293744 328416 330462 440616 480672 492624 519059 587488 660924 881232 985248 1038118 1321848 1557177 1762464 2076236 2643696 3114354 4152472 4671531 5287392 5709649 6228708 8304944 9343062 11419298 12457416 16609888 17128947 18686124 22838596 24914832 34257894 37372248 45677192 49829664 51386841 68515788 74744496 91354384 102773682 137031576 149488992 182708768 205547364 274063152 411094728 548126304 822189456 1644378912