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32448450664 = 2371722398389
BaseRepresentation
bin11110001110000101…
…000001000001101000
310002202101111002021001
4132032011001001220
51012423300410124
622523454524344
72226050164660
oct361605010150
9102671432231
1032448450664
1112841339283
126356b066b4
1330a1715b86
1417db6bb1a0
15c9da70b44
hex78e141068

32448450664 has 96 divisors (see below), whose sum is σ = 74181024000. Its totient is φ = 13032133632.

The previous prime is 32448450607. The next prime is 32448450673. The reversal of 32448450664 is 46605484423.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3863782 + ... + 3872170.

It is an arithmetic number, because the mean of its divisors is an integer number (772719000).

Almost surely, 232448450664 is an apocalyptic number.

32448450664 is a gapful number since it is divisible by the number (34) 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 32448450664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37090512000).

32448450664 is an abundant number, since it is smaller than the sum of its proper divisors (41732573336).

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

32448450664 is a wasteful number, since it uses less digits than its factorization.

32448450664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 32448450664 in words is "thirty-two billion, four hundred forty-eight million, four hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 239 289 476 478 578 952 956 1156 1673 1912 2023 2312 3346 4046 4063 6692 8092 8126 8389 13384 16184 16252 16778 28441 32504 33556 56882 58723 67112 69071 113764 117446 138142 142613 227528 234892 276284 285226 469784 483497 552568 570452 966994 998291 1140904 1933988 1996582 2004971 2424421 3867976 3993164 4009942 4848842 7986328 8019884 9697684 14034797 16039768 16970947 19395368 28069594 33941894 34084507 56139188 67883788 68169014 112278376 135767576 136338028 238591549 272676056 477183098 579436619 954366196 1158873238 1908732392 2317746476 4056056333 4635492952 8112112666 16224225332 32448450664