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16461611016006 = 23133712770963347
BaseRepresentation
bin1110111110001100010001…
…1110100001111101000110
32011021201021222100001222010
43233203010132201331012
54124201334410003011
655002205410115050
73316212031635042
oct357430436417506
964251258301863
1016461611016006
11527736a2a1012
121a1a45427ba86
13925428275730
1440ca638d5022
151d830e6a01a6
hexef8c47a1f46

16461611016006 has 128 divisors (see below), whose sum is σ = 36753110876160. Its totient is φ = 4882438052352.

The previous prime is 16461611015981. The next prime is 16461611016013. The reversal of 16461611016006 is 60061011616461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259832425 + ... + 259895771.

It is an arithmetic number, because the mean of its divisors is an integer number (287133678720).

Almost surely, 216461611016006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16461611016006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376555438080).

16461611016006 is an abundant number, since it is smaller than the sum of its proper divisors (20291499860154).

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

16461611016006 is a wasteful number, since it uses less digits than its factorization.

16461611016006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64238.

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 16461611016006 in words is "sixteen trillion, four hundred sixty-one billion, six hundred eleven million, sixteen thousand, six".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 127 222 254 381 481 709 762 962 1418 1443 1651 2127 2886 3302 4254 4699 4953 9217 9398 9906 14097 18434 26233 27651 28194 52466 55302 61087 63347 78699 90043 122174 126694 157398 180086 183261 190041 270129 341029 366522 380082 540258 682058 823511 1023087 1170559 1647022 2046174 2341118 2343839 2470533 3331591 3511677 4687678 4941066 6663182 7023354 7031517 8045069 9994773 14063034 16090138 19989546 24135207 30469907 43310683 44913023 48270414 60939814 86621366 89826046 91409721 104585897 129932049 134739069 182819442 209171794 259864098 269478138 297667553 313757691 583869299 595335106 627515382 893002659 1167738598 1661781851 1751607897 1786005318 3323563702 3503215794 3869678189 4985345553 5703953921 7739356378 9970691106 11407907842 11609034567 17111861763 21603164063 23218069134 34223723526 43206328126 64809492189 74151400973 129618984378 148302801946 211046295077 222454202919 422092590154 444908405838 633138885231 1266277770462 2743601836001 5487203672002 8230805508003 16461611016006