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16906576004032 = 2611134094516649
BaseRepresentation
bin1111011000000101111001…
…1101010000001111000000
32012212020211100110111121211
43312001132131100033000
54203444131424112112
655542435050055504
73363313466632441
oct366013635201700
965766740414554
1016906576004032
115429047445440
121a9073611a594
1395838b486860
144263d58112c8
151e4ba38bd0a7
hexf605e7503c0

16906576004032 has 112 divisors (see below), whose sum is σ = 39510570204000. Its totient is φ = 7076322754560.

The previous prime is 16906576004029. The next prime is 16906576004051. The reversal of 16906576004032 is 23040067560961.

It is a happy number.

It is a super-2 number, since 2×169065760040322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1484844 + ... + 6001492.

It is an arithmetic number, because the mean of its divisors is an integer number (352772948250).

Almost surely, 216906576004032 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 16906576004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19755285102000).

16906576004032 is an abundant number, since it is smaller than the sum of its proper divisors (22603994199968).

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

16906576004032 is a wasteful number, since it uses less digits than its factorization.

16906576004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517094 (or 4517084 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 16906576004032 in words is "sixteen trillion, nine hundred six billion, five hundred seventy-six million, four thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 409 416 572 704 818 832 1144 1636 2288 3272 4499 4576 5317 6544 8998 9152 10634 13088 17996 21268 26176 35992 42536 58487 71984 85072 116974 143968 170144 233948 287936 340288 467896 935792 1871584 3743168 4516649 9033298 18066596 36133192 49683139 58716437 72266384 99366278 117432874 144532768 198732556 234865748 289065536 397465112 469731496 645880807 794930224 939462992 1291761614 1589860448 1847309441 1878925984 2583523228 3179720896 3694618882 3757851968 5167046456 7389237764 10334092912 14778475528 20320403851 20668185824 24015022733 29556951056 40640807702 41336371648 48030045466 59113902112 81281615404 96060090932 118227804224 162563230808 192120181864 264165250063 325126461616 384240363728 528330500126 650252923232 768480727456 1056661000252 1300505846464 1536961454912 2113322000504 4226644001008 8453288002016 16906576004032