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4498560081664 = 281123312240533
BaseRepresentation
bin100000101110110011100…
…0100110101111100000000
3120221001120101102222112221
41001131213010311330000
51042201022340103124
613322335430500424
7643003340532025
oct101354704657400
916831511388487
104498560081664
111484912986110
12607a26804714
1326829b82c40c
14117a3521d54c
157c0404b0ce4
hex41767135f00

4498560081664 has 144 divisors (see below), whose sum is σ = 10551517046784. Its totient is φ = 1892801433600.

The previous prime is 4498560081649. The next prime is 4498560081689. The reversal of 4498560081664 is 4661800658944.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 887542 + ... + 3128074.

It is an arithmetic number, because the mean of its divisors is an integer number (73274423936).

Almost surely, 24498560081664 is an apocalyptic number.

4498560081664 is a gapful number since it is divisible by the number (44) 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 4498560081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275758523392).

4498560081664 is an abundant number, since it is smaller than the sum of its proper divisors (6052956965120).

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

4498560081664 is a wasteful number, since it uses less digits than its factorization.

4498560081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240614 (or 2240600 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 4498560081664 in words is "four trillion, four hundred ninety-eight billion, five hundred sixty million, eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 31 32 44 46 62 64 88 92 124 128 176 184 248 253 256 341 352 368 496 506 682 704 713 736 992 1012 1364 1408 1426 1472 1984 2024 2728 2816 2852 2944 3968 4048 5456 5704 5888 7843 7936 8096 10912 11408 15686 16192 21824 22816 31372 32384 43648 45632 62744 64768 87296 91264 125488 182528 250976 501952 1003904 2007808 2240533 4481066 8962132 17924264 24645863 35848528 49291726 51532259 69456523 71697056 98583452 103064518 138913046 143394112 197166904 206129036 277826092 286788224 394333808 412258072 555652184 566854849 573576448 764021753 788667616 824516144 1111304368 1133709698 1528043506 1577335232 1597500029 1649032288 2222608736 2267419396 3056087012 3154670464 3195000058 3298064576 4445217472 4534838792 6112174024 6309340928 6390000116 6596129152 8890434944 9069677584 12224348048 12780000232 13192258304 17572500319 17780869888 18139355168 24448696096 25560000464 35145000638 36278710336 48897392192 51120000928 70290001276 72557420672 97794784384 102240001856 140580002552 145114841344 195589568768 204480003712 281160005104 408960007424 562320010208 1124640020416 2249280040832 4498560081664