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686585470144 = 2671980660887
BaseRepresentation
bin10011111110110111010…
…11101101110011000000
32102122012022200200012211
421333123223231303000
542222111340021034
61243225113231504
7100414141130020
oct11773353556300
92378168620184
10686585470144
112451a7664892
12b1094102594
134c98b23a302
14253338b1a80
1512cd6571d64
hex9fdbaedcc0

686585470144 has 56 divisors (see below), whose sum is σ = 1639029244160. Its totient is φ = 278764022016.

The previous prime is 686585470111. The next prime is 686585470187. The reversal of 686585470144 is 441074585686.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40321932 + ... + 40338955.

It is an arithmetic number, because the mean of its divisors is an integer number (29268379360).

Almost surely, 2686585470144 is an apocalyptic number.

686585470144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

686585470144 is an abundant number, since it is smaller than the sum of its proper divisors (952443774016).

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

686585470144 is a wasteful number, since it uses less digits than its factorization.

686585470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80660925 (or 80660915 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 58.

The spelling of 686585470144 in words is "six hundred eighty-six billion, five hundred eighty-five million, four hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 80660887 161321774 322643548 564626209 645287096 1129252418 1290574192 1532556853 2258504836 2581148384 3065113706 4517009672 5162296768 6130227412 9034019344 10727897971 12260454824 18068038688 21455795942 24520909648 36136077376 42911591884 49041819296 85823183768 98083638592 171646367536 343292735072 686585470144