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9009000035164 = 2247267113134669
BaseRepresentation
bin1000001100011001001000…
…1111110011001101011100
31011220020210200221222121001
42003012102033303031130
52140100413002111124
631054402200320044
71616610263543653
oct203062217631534
934806720858531
109009000035164
112963771723818
121016007a73024
13504711652c9c
1423207610a19a
151095288b3b44
hex831923f335c

9009000035164 has 72 divisors (see below), whose sum is σ = 16493553110160. Its totient is φ = 4304394361344.

The previous prime is 9009000035159. The next prime is 9009000035201. The reversal of 9009000035164 is 4615300009009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66830022 + ... + 66964690.

It is an arithmetic number, because the mean of its divisors is an integer number (229077126530).

Almost surely, 29009000035164 is an apocalyptic number.

9009000035164 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

9009000035164 is a deficient number, since it is larger than the sum of its proper divisors (7484553074996).

9009000035164 is a wasteful number, since it uses less digits than its factorization.

9009000035164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134947 (or 134898 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 9009000035164 in words is "nine trillion, nine billion, thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 47 67 94 113 134 188 226 268 452 2209 3149 4418 5311 6298 7571 8836 10622 12596 15142 21244 30284 134669 148003 249617 269338 296006 355837 499234 538676 592012 711674 998468 1423348 6329443 9022823 12658886 15217597 16724339 18045646 25317772 30435194 33448678 36091292 60870388 66897356 297483821 424072681 594967642 715227059 848145362 1019578999 1189935284 1430454118 1696290724 2039157998 2860908236 4078315996 19931416007 33615671773 39862832014 47920212953 67231343546 79725664028 95840425906 134462687092 191680851812 2252250008791 4504500017582 9009000035164