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20470311414 = 234779832753
BaseRepresentation
bin10011000100001000…
…000010100111110110
31221211121111120020000
4103010020002213312
5313410344431124
613223125452130
71323162530130
oct230410024766
957747446200
1020470311414
118754a58a43
123b73571046
131c12c66707
14dc2950050
157ec1bc6c9
hex4c42029f6

20470311414 has 160 divisors (see below), whose sum is σ = 53743979520. Its totient is φ = 5702980608.

The previous prime is 20470311413. The next prime is 20470311481. The reversal of 20470311414 is 41411307402.

20470311414 is a `hidden beast` number, since 20 + 470 + 31 + 141 + 4 = 666.

It is a super-2 number, since 2×204703114142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20470311413) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7434262 + ... + 7437014.

It is an arithmetic number, because the mean of its divisors is an integer number (335899872).

Almost surely, 220470311414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20470311414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871989760).

20470311414 is an abundant number, since it is smaller than the sum of its proper divisors (33273668106).

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

20470311414 is a wasteful number, since it uses less digits than its factorization.

20470311414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 20470311414 its reverse (41411307402), we get a palindrome (61881618816).

The spelling of 20470311414 in words is "twenty billion, four hundred seventy million, three hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 81 83 126 158 162 166 189 237 249 378 474 498 553 567 581 711 747 1106 1134 1162 1422 1494 1659 1743 2133 2241 2753 3318 3486 4266 4482 4977 5229 5506 6399 6557 6723 8259 9954 10458 12798 13114 13446 14931 15687 16518 19271 19671 24777 29862 31374 38542 39342 44793 45899 47061 49554 57813 59013 74331 89586 91798 94122 115626 118026 137697 148662 173439 177039 217487 222993 228499 275394 346878 354078 413091 434974 445986 456998 520317 531117 652461 685497 826182 1040634 1062234 1239273 1304922 1370994 1522409 1560951 1599493 1957383 2056491 2478546 3044818 3121902 3198986 3717819 3914766 4112982 4567227 4798479 5872149 6169473 7435638 9134454 9596958 11744298 12338946 13701681 14395437 17616447 18051421 18508419 27403362 28790874 35232894 36102842 37016838 41105043 43186311 54154263 82210086 86372622 108308526 123315129 126359947 129558933 162462789 246630258 252719894 259117866 324925578 379079841 487388367 758159682 974776734 1137239523 1462165101 2274479046 2924330202 3411718569 6823437138 10235155707 20470311414