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14087681608 = 23711132376487
BaseRepresentation
bin11010001111011000…
…01111011001001000
31100100210110101010111
431013230033121020
5212322421302413
610245523524104
71006051214020
oct150754173110
940323411114
1014087681608
115a7a146780
122891b29634
13143682b7a0
14978dbca80
15576ba2d3d
hex347b0f648

14087681608 has 128 divisors (see below), whose sum is σ = 37007953920. Its totient is φ = 4846152960.

The previous prime is 14087681599. The next prime is 14087681639. The reversal of 14087681608 is 80618678041.

It is a happy number.

14087681608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 145941 + ... + 222427.

It is an arithmetic number, because the mean of its divisors is an integer number (289124640).

Almost surely, 214087681608 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 14087681608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18503976960).

14087681608 is an abundant number, since it is smaller than the sum of its proper divisors (22920272312).

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

14087681608 is a wasteful number, since it uses less digits than its factorization.

14087681608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76547 (or 76543 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The spelling of 14087681608 in words is "fourteen billion, eighty-seven million, six hundred eighty-one thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 13 14 22 23 26 28 44 46 52 56 77 88 91 92 104 143 154 161 182 184 253 286 299 308 322 364 506 572 598 616 644 728 1001 1012 1144 1196 1288 1771 2002 2024 2093 2392 3289 3542 4004 4186 6578 7084 8008 8372 13156 14168 16744 23023 26312 46046 76487 92092 152974 184184 305948 535409 611896 841357 994331 1070818 1682714 1759201 1988662 2141636 3365428 3518402 3977324 4283272 5889499 6730856 6960317 7036804 7954648 10937641 11778998 12314407 13920634 14073608 19351211 21875282 22869613 23557996 24628814 27841268 38702422 43750564 45739226 47115992 49257628 55682536 76563487 77404844 87501128 91478452 98515256 135458477 153126974 154809688 160087291 182956904 251565743 270916954 306253948 320174582 503131486 541833908 612507896 640349164 1006262972 1083667816 1280698328 1760960201 2012525944 3521920402 7043840804 14087681608