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1681200731328 = 26333129399001
BaseRepresentation
bin11000011101101111010…
…111110101010011000000
312221201110202210000200220
4120131233113311103000
5210021044341400303
63324155530143040
7232314502301046
oct30355727652300
95851422700626
101681200731328
11598aa1a90808
122319b2881a80
13c26c8a4a161
145b528b06396
152daea1d5053
hex1876f5f54c0

1681200731328 has 112 divisors (see below), whose sum is σ = 4463629457280. Its totient is φ = 558455040000.

The previous prime is 1681200731317. The next prime is 1681200731381. The reversal of 1681200731328 is 8231370021861.

It is a self number, because there is not a number n which added to its sum of digits gives 1681200731328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186774828 + ... + 186783828.

It is an arithmetic number, because the mean of its divisors is an integer number (39853834440).

Almost surely, 21681200731328 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 1681200731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231814728640).

1681200731328 is an abundant number, since it is smaller than the sum of its proper divisors (2782428725952).

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

1681200731328 is a wasteful number, since it uses less digits than its factorization.

1681200731328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12286 (or 12276 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 1681200731328 in words is "one trillion, six hundred eighty-one billion, two hundred million, seven hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 331 662 993 1324 1986 2648 2939 3972 5296 5878 7944 8817 9001 10592 11756 15888 17634 18002 21184 23512 27003 31776 35268 36004 47024 54006 63552 70536 72008 94048 108012 141072 144016 188096 216024 282144 288032 432048 564288 576064 864096 972809 1728192 1945618 2918427 2979331 3891236 5836854 5958662 7782472 8937993 11673708 11917324 15564944 17875986 23347416 23834648 26453939 31129888 35751972 46694832 47669296 52907878 62259776 71503944 79361817 93389664 95338592 105815756 143007888 158723634 186779328 190677184 211631512 286015776 317447268 423263024 572031552 634894536 846526048 1269789072 1693052096 2539578144 5079156288 8756253809 17512507618 26268761427 35025015236 52537522854 70050030472 105075045708 140100060944 210150091416 280200121888 420300182832 560400243776 840600365664 1681200731328