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165165000561 = 34111311579013
BaseRepresentation
bin1001100111010010011…
…0011110011101110001
3120210022122002100210000
42121310212132131301
510201224220004221
6203513055100213
714634641224611
oct2316446363561
9523278070700
10165165000561
1164056378570
1228015511669
131276234a082
147dcb886a41
15446a137e26
hex267499e771

165165000561 has 80 divisors (see below), whose sum is σ = 272970168768. Its totient is φ = 98692214400.

The previous prime is 165165000541. The next prime is 165165000571. The reversal of 165165000561 is 165000561561.

It is not a de Polignac number, because 165165000561 - 210 = 165164999537 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (165165000541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18320691 + ... + 18329703.

Almost surely, 2165165000561 is an apocalyptic number.

165165000561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

165165000561 is a deficient number, since it is larger than the sum of its proper divisors (107805168207).

165165000561 is a wasteful number, since it uses less digits than its factorization.

165165000561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 9315 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 165165000561 in words is "one hundred sixty-five billion, one hundred sixty-five million, five hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 9 11 27 33 81 99 131 157 297 393 471 891 1179 1413 1441 1727 3537 4239 4323 5181 9013 10611 12717 12969 15543 20567 27039 38907 46629 61701 81117 99143 116721 139887 185103 226237 243351 297429 555309 678711 730053 892287 1180703 1415041 1665927 2036133 2676861 3542109 4245123 6108399 8030583 10626327 12735369 12987733 15565451 18325197 31878981 38206107 38963199 46696353 95636943 114618321 116889597 140089059 185370371 350668791 420267177 556111113 1052006373 1260801531 1668333339 2039074081 5005000017 6117222243 15015000051 18351666729 55055000187 165165000561