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20126666224 = 2473759263313
BaseRepresentation
bin10010101111101001…
…001000110111110000
31220221122212120122101
4102233221020313300
5312204411304344
613125052150144
71311520561120
oct225751106760
956848776571
1020126666224
118598a84255
123a98468354
131b899c6b72
14d8d058c80
157cbe3b9d4
hex4afa48df0

20126666224 has 160 divisors (see below), whose sum is σ = 46872714240. Its totient is φ = 8192710656.

The previous prime is 20126666221. The next prime is 20126666239. The reversal of 20126666224 is 42266662102.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20126666221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64302292 + ... + 64302604.

It is an arithmetic number, because the mean of its divisors is an integer number (292954464).

Almost surely, 220126666224 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 20126666224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436357120).

20126666224 is an abundant number, since it is smaller than the sum of its proper divisors (26746048016).

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

20126666224 is a wasteful number, since it uses less digits than its factorization.

20126666224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 20126666224 in words is "twenty billion, one hundred twenty-six million, six hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 59 74 112 118 148 236 259 263 296 313 413 472 518 526 592 626 826 944 1036 1052 1252 1652 1841 2072 2104 2183 2191 2504 3304 3682 4144 4208 4366 4382 5008 6608 7364 8732 8764 9731 11581 14728 15281 15517 17464 17528 18467 19462 23162 29456 30562 31034 34928 35056 36934 38924 46324 61124 62068 68117 73868 77848 81067 82319 92648 108619 122248 124136 129269 136234 147736 155696 162134 164638 185296 217238 244496 248272 258538 272468 295472 324268 329276 434476 517076 544936 574129 576233 648536 658552 683279 868952 1034152 1089872 1148258 1152466 1297072 1317104 1366558 1737904 2068304 2296516 2304932 2733116 3045803 4018903 4593032 4609864 4782953 4856821 5466232 6091606 8037806 9186064 9219728 9565906 9713642 10932464 12183212 16075612 19131812 19427284 21320621 24366424 32151224 33997747 38263624 38854568 42641242 48732848 64302448 67995494 76527248 77709136 85282484 135990988 170564968 179702377 271981976 341129936 359404754 543963952 718809508 1257916639 1437619016 2515833278 2875238032 5031666556 10063333112 20126666224