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673904553376 = 25192130344771
BaseRepresentation
bin10011100111001111101…
…01110110110110100000
32101102110120022100122211
421303213311312312200
542020124031202001
61233330521211504
766454661122135
oct11634765666640
92342416270584
10673904553376
1123a88a60838a
12aa735330b94
134b719cb8472
142488d68658c
15127e314d351
hex9ce7d76da0

673904553376 has 72 divisors (see below), whose sum is σ = 1401359660064. Its totient is φ = 318965834880.

The previous prime is 673904553359. The next prime is 673904553397. The reversal of 673904553376 is 673355409376.

It is a self number, because there is not a number n which added to its sum of digits gives 673904553376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15029871 + ... + 15074641.

It is an arithmetic number, because the mean of its divisors is an integer number (19463328612).

Almost surely, 2673904553376 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 673904553376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700679830032).

673904553376 is an abundant number, since it is smaller than the sum of its proper divisors (727455106688).

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

673904553376 is a wasteful number, since it uses less digits than its factorization.

673904553376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46122 (or 46095 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 58.

The spelling of 673904553376 in words is "six hundred seventy-three billion, nine hundred four million, five hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1303 1444 2606 2888 5212 5776 10424 11552 20848 24757 41696 44771 49514 89542 99028 179084 198056 358168 396112 470383 716336 792224 850649 940766 1432672 1701298 1881532 3402596 3763064 6805192 7526128 13610384 15052256 16162331 27220768 32324662 58336613 64649324 116673226 129298648 233346452 258597296 466692904 517194592 933385808 1108395647 1866771616 2216791294 4433582588 8867165176 17734330352 21059517293 35468660704 42119034586 84238069172 168476138344 336952276688 673904553376