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20166662045152 = 257293853805729
BaseRepresentation
bin1001001010111011010101…
…01110100011110111100000
32122101220200100111121112201
410211131222232203313200
510120402310440421102
6110520234152102544
74150664454025150
oct445355256436740
978356610447481
1020166662045152
1164756a6a87337
122318526394a54
13b33928829abc
144da100878760
1524e8ab632987
hex12576aba3de0

20166662045152 has 96 divisors (see below), whose sum is σ = 46951885310400. Its totient is φ = 8342649520128.

The previous prime is 20166662045093. The next prime is 20166662045207. The reversal of 20166662045152 is 25154026666102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24626224 + ... + 25431952.

It is an arithmetic number, because the mean of its divisors is an integer number (489082138650).

Almost surely, 220166662045152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20166662045152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23475942655200).

20166662045152 is an abundant number, since it is smaller than the sum of its proper divisors (26785223265248).

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

20166662045152 is a wasteful number, since it uses less digits than its factorization.

20166662045152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809628 (or 809620 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 20166662045152 in words is "twenty trillion, one hundred sixty-six billion, six hundred sixty-two million, forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 3853 6496 7706 15412 26971 30824 53942 61648 107884 111737 123296 215768 223474 431536 446948 782159 805729 863072 893896 1564318 1611458 1787792 3128636 3222916 3575584 5640103 6257272 6445832 11280206 12514544 12891664 22560412 23366141 25029088 25783328 45120824 46732282 90241648 93464564 163562987 180483296 186929128 327125974 373858256 654251948 747716512 1308503896 2617007792 3104473837 5234015584 6208947674 12417895348 21731316859 24835790696 43462633718 49671581392 86925267436 90029741273 99343162784 173850534872 180059482546 347701069744 360118965092 630208188911 695402139488 720237930184 1260416377822 1440475860368 2520832755644 2880951720736 5041665511288 10083331022576 20166662045152