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4321649664 = 210322631783
BaseRepresentation
bin1000000011001011…
…10010010000000000
3102011011221112211200
410001211302100000
532322320242124
61552455541200
7212044262463
oct40145622000
912134845750
104321649664
1119185053a2
12a0738a800
1353b45c767
142cdd612da
151a460dbc9
hex101972400

4321649664 has 132 divisors (see below), whose sum is σ = 12533142336. Its totient is φ = 1434267648.

The previous prime is 4321649663. The next prime is 4321649669. The reversal of 4321649664 is 4669461234.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4321649663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2422917 + ... + 2424699.

It is an arithmetic number, because the mean of its divisors is an integer number (94948048).

Almost surely, 24321649664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4321649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266571168).

4321649664 is an abundant number, since it is smaller than the sum of its proper divisors (8211492672).

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

4321649664 is a wasteful number, since it uses less digits than its factorization.

4321649664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2051 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4321649664 is about 65739.2551220350. The cubic root of 4321649664 is about 1628.8578526958.

The spelling of 4321649664 in words is "four billion, three hundred twenty-one million, six hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 263 288 384 512 526 576 768 789 1024 1052 1152 1536 1578 1783 2104 2304 2367 3072 3156 3566 4208 4608 4734 5349 6312 7132 8416 9216 9468 10698 12624 14264 16047 16832 18936 21396 25248 28528 32094 33664 37872 42792 50496 57056 64188 67328 75744 85584 100992 114112 128376 134656 151488 171168 201984 228224 256752 269312 302976 342336 403968 456448 468929 513504 605952 684672 807936 912896 937858 1027008 1211904 1369344 1406787 1825792 1875716 2054016 2423808 2738688 2813574 3751432 4108032 4220361 5477376 5627148 7502864 8216064 8440722 11254296 15005728 16432128 16881444 22508592 30011456 33762888 45017184 60022912 67525776 90034368 120045824 135051552 180068736 240091648 270103104 360137472 480183296 540206208 720274944 1080412416 1440549888 2160824832 4321649664