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681348365899776 = 2113241849883307
BaseRepresentation
bin1001101011101011101100011…
…1010100010101100000000000
310022100110021020010001221002200
42122322323013110111200000
51203301202423132243101
610413035041305513200
7263341536450421311
oct23272730724254000
93270407203057080
10681348365899776
1118810a245920673
1264501a651a2800
1323324b4bac0b83
14c037618a8c608
1553b867bbd8986
hex26baec7515800

681348365899776 has 144 divisors (see below), whose sum is σ = 1967908422753000. Its totient is φ = 227110437814272.

The previous prime is 681348365899769. The next prime is 681348365899777. The reversal of 681348365899776 is 677998563843186.

681348365899776 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 483 + 6 + 58 + 9 + 9 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681348365899777) 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, 770919115 + ... + 771802421.

Almost surely, 2681348365899776 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 681348365899776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983954211376500).

681348365899776 is an abundant number, since it is smaller than the sum of its proper divisors (1286560056853224).

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

681348365899776 is a wasteful number, since it uses less digits than its factorization.

681348365899776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925184 (or 925161 counting only the distinct ones).

The product of its digits is 79009136640, while the sum is 90.

The spelling of 681348365899776 in words is "six hundred eighty-one trillion, three hundred forty-eight billion, three hundred sixty-five million, eight hundred ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 41849 83698 125547 167396 251094 334792 376641 502188 669584 753282 883307 1004376 1339168 1506564 1766614 2008752 2649921 2678336 3013128 3533228 4017504 5299842 5356672 6026256 7066456 7949763 8035008 10599684 10713344 12052512 14132912 15899526 16070016 21199368 21426688 24105024 28265824 31799052 32140032 42398736 42853376 48210048 56531648 63598104 64280064 84797472 85706752 96420096 113063296 127196208 128560128 169594944 192840192 226126592 254392416 257120256 339189888 385680384 452253184 508784832 678379776 771360768 904506368 1017569664 1356759552 1809012736 2035139328 2713519104 4070278656 5427038208 8140557312 16281114624 36965514643 73931029286 110896543929 147862058572 221793087858 295724117144 332689631787 443586175716 591448234288 665379263574 887172351432 1182896468576 1330758527148 1774344702864 2365792937152 2661517054296 3548689405728 4731585874304 5323034108592 7097378811456 9463171748608 10646068217184 14194757622912 18926343497216 21292136434368 28389515245824 37852686994432 42584272868736 56779030491648 75705373988864 85168545737472 113558060983296 170337091474944 227116121966592 340674182949888 681348365899776