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180085406690 = 25729791122937
BaseRepresentation
bin1010011110110111101…
…1010011101111100010
3122012211110110112012102
42213231323103233202
510422303331003230
6214421411130402
716003453462130
oct2475573235742
9565743415172
10180085406690
116a412576522
122aa9a2a3a02
1313c9c548857
148a052ac750
154a3ee79045
hex29eded3be2

180085406690 has 64 divisors (see below), whose sum is σ = 388087372800. Its totient is φ = 58859813376.

The previous prime is 180085406687. The next prime is 180085406779. The reversal of 180085406690 is 96604580081.

It is a super-2 number, since 2×1800854066902 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401099 + ... + 721838.

It is an arithmetic number, because the mean of its divisors is an integer number (6063865200).

Almost surely, 2180085406690 is an apocalyptic number.

180085406690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180085406690 is an abundant number, since it is smaller than the sum of its proper divisors (208001966110).

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

180085406690 is a wasteful number, since it uses less digits than its factorization.

180085406690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123059.

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 180085406690 in words is "one hundred eighty billion, eighty-five million, four hundred six thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 29 35 58 70 79 145 158 203 290 395 406 553 790 1015 1106 2030 2291 2765 4582 5530 11455 16037 22910 32074 80185 160370 1122937 2245874 5614685 7860559 11229370 15721118 32565173 39302795 65130346 78605590 88712023 162825865 177424046 227956211 325651730 443560115 455912422 620984161 887120230 1139781055 1241968322 2279562110 2572648667 3104920805 5145297334 6209841610 12863243335 18008540669 25726486670 36017081338 90042703345 180085406690