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20437700166 = 236134612339
BaseRepresentation
bin10011000010001011…
…101000111001000110
31221202100010202000000
4103002023220321012
5313324022401131
613220002502130
71322315404452
oct230213507106
957670122000
1020437700166
1187386046a4
123b64664946
131c09289010
14dbc4a1662
157e93c9ce6
hex4c22e8e46

20437700166 has 112 divisors (see below), whose sum is σ = 49628058480. Its totient is φ = 6272199360.

The previous prime is 20437700161. The next prime is 20437700183. The reversal of 20437700166 is 66100773402.

It is a self number, because there is not a number n which added to its sum of digits gives 20437700166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20437700161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8736625 + ... + 8738963.

It is an arithmetic number, because the mean of its divisors is an integer number (443107665).

Almost surely, 220437700166 is an apocalyptic number.

20437700166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20437700166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24814029240).

20437700166 is an abundant number, since it is smaller than the sum of its proper divisors (29190358314).

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

20437700166 is a wasteful number, since it uses less digits than its factorization.

20437700166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 20437700166 in words is "twenty billion, four hundred thirty-seven million, seven hundred thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 461 486 702 729 922 1053 1383 1458 2106 2339 2766 3159 4149 4678 5993 6318 7017 8298 9477 11986 12447 14034 17979 18954 21051 24894 30407 35958 37341 42102 53937 60814 63153 74682 91221 107874 112023 126306 161811 182442 189459 224046 273663 323622 336069 378918 485433 547326 568377 672138 820989 970866 1078279 1136754 1456299 1641978 1705131 2156558 2462967 2912598 3234837 3410262 4368897 4925934 6469674 7388901 8737794 9704511 14017627 14777802 19409022 22166703 28035254 29113533 42052881 44333406 58227066 84105762 87340599 126158643 174681198 252317286 262021797 378475929 524043594 756951858 786065391 1135427787 1572130782 2270855574 3406283361 6812566722 10218850083 20437700166