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11706164448804 = 2233721173385519
BaseRepresentation
bin1010101001011000110111…
…0001100000111000100100
31112110002122201122112002000
42222112031301200320210
53013243211044330204
640521423202245300
72315512445023650
oct252261561407044
945402581575060
1011706164448804
11380361371a1a1
121390896956830
1366bb6aa47427
142c681d455a60
15154786a30039
hexaa58dc60e24

11706164448804 has 96 divisors (see below), whose sum is σ = 34849315737600. Its totient is φ = 3328767096480.

The previous prime is 11706164448799. The next prime is 11706164448841. The reversal of 11706164448804 is 40884446160711.

11706164448804 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 61 + 64 + 448 + 80 + 4 = 666.

It is a super-2 number, since 2×117061644488042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36533244 + ... + 36852275.

It is an arithmetic number, because the mean of its divisors is an integer number (363013705600).

Almost surely, 211706164448804 is an apocalyptic number.

11706164448804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11706164448804 is an abundant number, since it is smaller than the sum of its proper divisors (23143151288796).

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

11706164448804 is a wasteful number, since it uses less digits than its factorization.

11706164448804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73385750 (or 73385742 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 11706164448804 in words is "eleven trillion, seven hundred six billion, one hundred sixty-four million, four hundred forty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 211 252 378 422 633 756 844 1266 1477 1899 2532 2954 3798 4431 5697 5908 7596 8862 11394 13293 17724 22788 26586 39879 53172 79758 159516 73385519 146771038 220156557 293542076 440313114 513698633 660469671 880626228 1027397266 1320939342 1541095899 1981409013 2054794532 2641878684 3082191798 3962818026 4623287697 6164383596 7925636052 9246575394 13869863091 15484344509 18493150788 27739726182 30968689018 46453033527 55479452364 61937378036 92906067054 108390411563 139359100581 185812134108 216780823126 278718201162 325171234689 418077301743 433561646252 557436402324 650342469378 836154603486 975513704067 1300684938756 1672309206972 1951027408134 2926541112201 3902054816268 5853082224402 11706164448804