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8685204087872 = 261373225163527
BaseRepresentation
bin111111001100010111010…
…0000010010010001000000
31010202022000210202120211202
41332120232200102101000
52114244244221302442
630245532213400332
71554325311444554
oct176305640222100
933668023676752
108685204087872
112849413315084
12b833013390a8
134b001b8a0bc0
1422051a8c7864
15100dc70bdc32
hex7e62e812440

8685204087872 has 112 divisors (see below), whose sum is σ = 18823355548032. Its totient is φ = 3951825408000.

The previous prime is 8685204087827. The next prime is 8685204087883. The reversal of 8685204087872 is 2787804025868.

It is a junction number, because it is equal to n+sod(n) for n = 8685204087799 and 8685204087808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136684973 + ... + 136748499.

It is an arithmetic number, because the mean of its divisors is an integer number (168065674536).

Almost surely, 28685204087872 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 8685204087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411677774016).

8685204087872 is an abundant number, since it is smaller than the sum of its proper divisors (10138151460160).

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

8685204087872 is a wasteful number, since it uses less digits than its factorization.

8685204087872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65876 (or 65866 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 65.

The spelling of 8685204087872 in words is "eight trillion, six hundred eighty-five billion, two hundred four million, eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 146 208 292 416 584 832 949 1168 1898 2251 2336 3796 4502 4672 7592 9004 15184 18008 29263 30368 36016 58526 60736 63527 72032 117052 127054 144064 164323 234104 254108 328646 468208 508216 657292 825851 936416 1016432 1314584 1651702 1872832 2032864 2136199 2629168 3303404 4065728 4272398 4637471 5258336 6606808 8544796 9274942 10516672 13213616 17089592 18549884 26427232 34179184 37099768 52854464 60287123 68358368 74199536 120574246 136716736 142999277 148399072 241148492 285998554 296798144 482296984 571997108 964593968 1143994216 1858990601 1929187936 2287988432 3717981202 3858375872 4575976864 7435962404 9151953728 10438947221 14871924808 20877894442 29743849616 41755788884 59487699232 83511577768 118975398464 135706313873 167023155536 271412627746 334046311072 542825255492 668092622144 1085650510984 2171301021968 4342602043936 8685204087872