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1687051348752 = 2437114111133007
BaseRepresentation
bin11000100011001100000…
…110001010101100010000
312222021120111202012000010
4120203030012022230100
5210120040121130002
63331004245154520
7232612463600520
oct30431406125420
95867514665003
101687051348752
115a0524561220
12232b660bba40
13c311bba2063
145b921b4b680
152dd3db6146c
hex188cc18ab10

1687051348752 has 160 divisors (see below), whose sum is σ = 5566147743744. Its totient is φ = 427507430400.

The previous prime is 1687051348721. The next prime is 1687051348799. The reversal of 1687051348752 is 2578431507861.

It is a super-2 number, since 2×16870513487522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1687051348692 and 1687051348701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5414968 + ... + 5718039.

Almost surely, 21687051348752 is an apocalyptic number.

1687051348752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1687051348752 is an abundant number, since it is smaller than the sum of its proper divisors (3879096394992).

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

1687051348752 is a wasteful number, since it uses less digits than its factorization.

1687051348752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133077 (or 11133071 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 1687051348752 in words is "one trillion, six hundred eighty-seven billion, fifty-one million, three hundred forty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 41 42 44 48 56 66 77 82 84 88 112 123 132 154 164 168 176 231 246 264 287 308 328 336 451 462 492 528 574 616 656 861 902 924 984 1148 1232 1353 1722 1804 1848 1968 2296 2706 3157 3444 3608 3696 4592 5412 6314 6888 7216 9471 10824 12628 13776 18942 21648 25256 37884 50512 75768 151536 11133007 22266014 33399021 44532028 66798042 77931049 89064056 122463077 133596084 155862098 178128112 233793147 244926154 267192168 311724196 367389231 456453287 467586294 489852308 534384336 623448392 734778462 857241539 912906574 935172588 979704616 1246896784 1369359861 1469556924 1714483078 1825813148 1870345176 1959409232 2571724617 2738719722 2939113848 3195173009 3428966156 3651626296 3740690352 5020986157 5143449234 5477439444 5878227696 6390346018 6857932312 7303252592 9585519027 10041972314 10286898468 10954878888 12780692036 13715864624 15062958471 19171038054 20083944628 20573796936 21909757776 25561384072 30125916942 35146903099 38342076108 40167889256 41147593872 51122768144 60251833884 70293806198 76684152216 80335778512 105440709297 120503667768 140587612396 153368304432 210881418594 241007335536 281175224792 421762837188 562350449584 843525674376 1687051348752