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169289355136 = 2711596613083
BaseRepresentation
bin1001110110101001101…
…1101000111110000000
3121011222001210021122011
42131222123220332000
510233201033331021
6205434230222304
715142101530146
oct2355233507600
9534861707564
10169289355136
1165882478170
12289867b4994
1312c6b95b775
14829d52b596
15460c273de1
hex276a6e8f80

169289355136 has 128 divisors (see below), whose sum is σ = 374839228800. Its totient is φ = 75506534400.

The previous prime is 169289355133. The next prime is 169289355187. The reversal of 169289355136 is 631553982961.

169289355136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169289355133) 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 15 ways as a sum of consecutive naturals, for example, 54909051 + ... + 54912133.

It is an arithmetic number, because the mean of its divisors is an integer number (2928431475).

Almost surely, 2169289355136 is an apocalyptic number.

169289355136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169289355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187419614400).

169289355136 is an abundant number, since it is smaller than the sum of its proper divisors (205549873664).

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

169289355136 is a wasteful number, since it uses less digits than its factorization.

169289355136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3816 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 58.

It can be divided in two parts, 169289 and 355136, that added together give a palindrome (524425).

The spelling of 169289355136 in words is "one hundred sixty-nine billion, two hundred eighty-nine million, three hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 128 176 236 352 472 649 661 704 944 1298 1322 1408 1888 2596 2644 3083 3776 5192 5288 6166 7271 7552 10384 10576 12332 14542 20768 21152 24664 29084 33913 38999 41536 42304 49328 58168 67826 77998 83072 84608 98656 116336 135652 155996 181897 197312 232672 271304 311992 363794 394624 428989 465344 542608 623984 727588 857978 930688 1085216 1247968 1455176 1715956 2000867 2037863 2170432 2495936 2910352 3431912 4001734 4075726 4340864 4991872 5820704 6863824 8003468 8151452 11641408 13727648 16006936 16302904 22416493 23282816 27455296 32013872 32605808 44832986 54910592 64027744 65211616 89665972 120233917 128055488 130423232 179331944 240467834 256110976 260846464 358663888 480935668 717327776 961871336 1322573087 1434655552 1923742672 2645146174 2869311104 3847485344 5290292348 7694970688 10580584696 15389941376 21161169392 42322338784 84644677568 169289355136