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90221941782 = 23272176789809
BaseRepresentation
bin101010000000110100…
…1011001010000010110
322121212201111112000100
41110001221121100112
52434233304114112
6105240345154530
76342532565100
oct1240151312026
9277781445010
1090221941782
1135298a30255
121559b18ba46
13867aabc78b
14451c592570
152530abc2dc
hex1501a59416

90221941782 has 144 divisors (see below), whose sum is σ = 244368699120. Its totient is φ = 23898986496.

The previous prime is 90221941729. The next prime is 90221941861. The reversal of 90221941782 is 28714912209.

90221941782 is a `hidden beast` number, since 9 + 0 + 221 + 9 + 417 + 8 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 959694 + ... + 1049502.

It is an arithmetic number, because the mean of its divisors is an integer number (1697004855).

Almost surely, 290221941782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90221941782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122184349560).

90221941782 is an abundant number, since it is smaller than the sum of its proper divisors (154146757338).

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

90221941782 is a wasteful number, since it uses less digits than its factorization.

90221941782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89915 (or 89905 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 90221941782 in words is "ninety billion, two hundred twenty-one million, nine hundred forty-one thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 67 98 102 119 126 134 147 153 201 238 294 306 357 402 441 469 603 714 833 882 938 1071 1139 1206 1407 1666 2142 2278 2499 2814 3283 3417 4221 4998 6566 6834 7497 7973 8442 9849 10251 14994 15946 19698 20502 23919 29547 47838 55811 59094 71757 89809 111622 143514 167433 179618 269427 334866 502299 538854 628663 808281 1004598 1257326 1526753 1616562 1885989 3053506 3771978 4400641 4580259 5657967 6017203 8801282 9160518 10687271 11315934 12034406 13201923 13740777 18051609 21374542 26403846 27481554 32061813 36103218 39605769 42120421 54154827 64123626 74810897 79211538 84240842 96185439 102292451 108309654 126361263 149621794 192370878 204584902 224432691 252722526 294842947 306877353 379083789 448865382 589685894 613754706 673298073 716047157 758167578 884528841 920632059 1346596146 1432094314 1769057682 1841264118 2148141471 2653586523 4296282942 5012330099 5307173046 6444424413 10024660198 12888848826 15036990297 30073980594 45110970891 90221941782