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162563040906 = 23717383733811
BaseRepresentation
bin1001011101100110000…
…0110010011010001010
3120112121022001010010220
42113121200302122022
510130412114302111
6202402550050510
714513315022450
oct2273140623212
9515538033126
10162563040906
1162a40664792
122760a049a36
131243926c186
147c220949d0
1543669bbe06
hex25d983268a

162563040906 has 128 divisors (see below), whose sum is σ = 395482300416. Its totient is φ = 43487124480.

The previous prime is 162563040851. The next prime is 162563040943. The reversal of 162563040906 is 609040365261.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200447241 + ... + 200448051.

It is an arithmetic number, because the mean of its divisors is an integer number (3089705472).

Almost surely, 2162563040906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162563040906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197741150208).

162563040906 is an abundant number, since it is smaller than the sum of its proper divisors (232919259510).

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

162563040906 is a wasteful number, since it uses less digits than its factorization.

162563040906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956.

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 162563040906 in words is "one hundred sixty-two billion, five hundred sixty-three million, forty thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 383 714 733 766 811 1149 1466 1622 2199 2298 2433 2681 4398 4866 5131 5362 5677 6511 8043 10262 11354 12461 13022 13787 15393 16086 17031 19533 24922 27574 30786 34062 37383 39066 41361 45577 74766 82722 87227 91154 96509 136731 174454 193018 261681 273462 280739 289527 310613 523362 561478 579054 594463 621226 842217 931839 1188926 1684434 1783389 1863678 1965173 2174291 3566778 3930346 4161241 4348582 4772563 5280421 5895519 6522873 8322482 9545126 10105871 10560842 11791038 12483723 13045746 14317689 15841263 20211742 24967446 28635378 30317613 31682526 33407941 36962947 60635226 66815882 70741097 73925894 100223823 110888841 141482194 200447646 212223291 221777682 227679329 424446582 455358658 683037987 1366075974 1593755303 3187510606 3870548593 4781265909 7741097186 9562531818 11611645779 23223291558 27093840151 54187680302 81281520453 162563040906