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16515104116242 = 231923139211214759
BaseRepresentation
bin1111000001010011100011…
…1010100000111000010010
32011110211101000001010021210
43300110320322200320102
54131040413123204432
655042533433000550
73323114450532354
oct360247072407022
964424330033253
1016515104116242
11529801a7a8a66
121a288a2b53156
1392a4a1907374
1441149a1090d4
151d98e0a3c8cc
hexf0538ea0e12

16515104116242 has 128 divisors (see below), whose sum is σ = 36714682368000. Its totient is φ = 4929159977280.

The previous prime is 16515104116171. The next prime is 16515104116307. The reversal of 16515104116242 is 24261140151561.

It is a happy number.

It is a super-3 number, since 3×165151041162423 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16515104116242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76793259 + ... + 77008017.

It is an arithmetic number, because the mean of its divisors is an integer number (286833456000).

Almost surely, 216515104116242 is an apocalyptic number.

16515104116242 is an abundant number, since it is smaller than the sum of its proper divisors (20199578251758).

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

16515104116242 is a wasteful number, since it uses less digits than its factorization.

16515104116242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215156.

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 16515104116242 in words is "sixteen trillion, five hundred fifteen billion, one hundred four million, one hundred sixteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 139 211 278 417 422 437 633 834 874 1266 1311 2622 2641 3197 4009 4853 5282 6394 7923 8018 9591 9706 12027 14559 15846 19182 24054 29118 29329 58658 60743 87987 92207 121486 175974 182229 184414 214759 276621 364458 429518 553242 557251 644277 674567 1114502 1288554 1349134 1671753 2023701 3343506 4047402 4080421 4939457 8160842 9878914 12241263 12816773 14818371 24482526 25633546 29636742 29851501 38450319 45314149 59703002 76900638 89554503 90628298 93849683 135942447 179109006 187699366 271884894 281549049 563098098 567178519 686584523 860968831 1042225427 1134357038 1373169046 1701535557 1721937662 2059753569 2084450854 2582906493 3126676281 3403071114 4119507138 5165812986 6253352562 6298666711 12597333422 13045105937 18896000133 19802283113 26090211874 37792000266 39135317811 39604566226 59406849339 78270635622 118813698678 119674667509 144869334353 239349335018 289738668706 359024002527 434608003059 718048005054 869216006118 2752517352707 5505034705414 8257552058121 16515104116242