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185009468070 = 23572294339889
BaseRepresentation
bin1010110001001101101…
…1000111001010100110
3122200112121221202120010
42230103123013022212
511012344410434240
6220554150551050
716236464350200
oct2542333071246
9580477852503
10185009468070
117150a026739
122ba33368486
13145a573983b
148d51243770
154c2c3d0280
hex2b136c72a6

185009468070 has 96 divisors (see below), whose sum is σ = 534327256800. Its totient is φ = 40829666304.

The previous prime is 185009468053. The next prime is 185009468071. The reversal of 185009468070 is 70864900581.

185009468070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185009468071) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2127315 + ... + 2212574.

It is an arithmetic number, because the mean of its divisors is an integer number (5565908925).

Almost surely, 2185009468070 is an apocalyptic number.

185009468070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

185009468070 is an abundant number, since it is smaller than the sum of its proper divisors (349317788730).

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

185009468070 is a wasteful number, since it uses less digits than its factorization.

185009468070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339942 (or 4339935 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 185009468070 in words is "one hundred eighty-five billion, nine million, four hundred sixty-eight thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 49 58 70 87 98 105 145 147 174 203 210 245 290 294 406 435 490 609 735 870 1015 1218 1421 1470 2030 2842 3045 4263 6090 7105 8526 14210 21315 42630 4339889 8679778 13019667 21699445 26039334 30379223 43398890 60758446 65098335 91137669 125856781 130196670 151896115 182275338 212654561 251713562 303792230 377570343 425309122 455688345 629283905 637963683 755140686 880997467 911376690 1063272805 1258567810 1275927366 1761994934 1887851715 2126545610 2642992401 3189818415 3775703430 4404987335 5285984802 6166982269 6379636830 8809974670 12333964538 13214962005 18500946807 26429924010 30834911345 37001893614 61669822690 92504734035 185009468070