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13998024876 = 223112172232543
BaseRepresentation
bin11010000100101100…
…01110100010101100
31100010112202100012210
431002112032202230
5212131443244001
610233002130420
71003612151103
oct150226164254
940115670183
1013998024876
115a3357a300
122867ab0a10
131421099b74
1496b12103a
1556dd92dd6
hex34258e8ac

13998024876 has 144 divisors (see below), whose sum is σ = 38198587392. Its totient is φ = 3972840960.

The previous prime is 13998024863. The next prime is 13998024979. The reversal of 13998024876 is 67842089931.

It is a super-2 number, since 2×139980248762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5503261 + ... + 5505803.

It is an arithmetic number, because the mean of its divisors is an integer number (265267968).

Almost surely, 213998024876 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 13998024876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099293696).

13998024876 is an abundant number, since it is smaller than the sum of its proper divisors (24200562516).

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

13998024876 is a wasteful number, since it uses less digits than its factorization.

13998024876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 13998024876 in words is "thirteen billion, nine hundred ninety-eight million, twenty-four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 223 242 363 374 446 484 561 669 726 748 892 1122 1338 1452 2057 2244 2453 2543 2676 3791 4114 4906 5086 6171 7359 7582 7629 8228 9812 10172 11373 12342 14718 15164 15258 22746 24684 26983 27973 29436 30516 41701 43231 45492 53966 55946 80949 83402 83919 86462 107932 111892 125103 129693 161898 166804 167838 172924 250206 259386 307703 323796 335676 458711 475541 500412 518772 567089 615406 917422 923109 951082 1134178 1230812 1376133 1426623 1701267 1834844 1846218 1902164 2268356 2752266 2853246 3402534 3692436 5230951 5504532 5706492 6237979 6805068 9640513 10461902 12475958 15692853 18713937 19281026 20923804 24951916 28921539 31385706 37427874 38562052 57843078 62771412 68617769 74855748 106045643 115686156 137235538 205853307 212091286 274471076 318136929 411706614 424182572 636273858 823413228 1166502073 1272547716 2333004146 3499506219 4666008292 6999012438 13998024876