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13352455405104 = 2438333768314561
BaseRepresentation
bin1100001001001101110001…
…0111000111111000110000
31202021111000120112020020020
43002103130113013320300
53222231312040430404
644222011111043440
72545453202202204
oct302233427077060
952244016466206
1013352455405104
114288820a84262
1215b7966370580
1375b19217106a
14342395a1ab04
151824dc057ed9
hexc24dc5c7e30

13352455405104 has 160 divisors (see below), whose sum is σ = 35066692088064. Its totient is φ = 4377426493440.

The previous prime is 13352455405087. The next prime is 13352455405111. The reversal of 13352455405104 is 40150455425331.

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, 916993984 + ... + 917008544.

Almost surely, 213352455405104 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 13352455405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17533346044032).

13352455405104 is an abundant number, since it is smaller than the sum of its proper divisors (21714236682960).

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

13352455405104 is a wasteful number, since it uses less digits than its factorization.

13352455405104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15675 (or 15669 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 13352455405104 in words is "thirteen trillion, three hundred fifty-two billion, four hundred fifty-five million, four hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 337 498 664 674 683 996 1011 1328 1348 1366 1992 2022 2049 2696 2732 3984 4044 4098 5392 5464 8088 8196 10928 14561 16176 16392 27971 29122 32784 43683 55942 56689 58244 83913 87366 111884 113378 116488 167826 170067 174732 223768 226756 230171 232976 335652 340134 349464 447536 453512 460342 671304 680268 690513 698928 907024 920684 1208563 1342608 1360536 1381026 1841368 2417126 2721072 2762052 3625689 3682736 4834252 4907057 5524104 7251378 9668504 9814114 9945163 11048208 14502756 14721171 19104193 19337008 19628228 19890326 29005512 29442342 29835489 38208386 39256456 39780652 57312579 58011024 58884684 59670978 76416772 78512912 79561304 114625158 117769368 119341956 152833544 159122608 229250316 235538736 238683912 305667088 407285731 458500632 477367824 814571462 825448529 917001264 1221857193 1629142924 1650897058 2443714386 2476345587 3258285848 3301794116 3351519931 4887428772 4952691174 6516571696 6603588232 6703039862 9774857544 9905382348 10054559793 13207176464 13406079724 19549715088 19810764696 20109119586 26812159448 39621529392 40218239172 53624318896 80436478344 160872956688 278176154273 556352308546 834528462819 1112704617092 1669056925638 2225409234184 3338113851276 4450818468368 6676227702552 13352455405104