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20024424024 = 233111017271033
BaseRepresentation
bin10010101001100011…
…000111011001011000
31220200112111010201020
4102221203013121120
5312002223032044
613111000522440
71306136536653
oct225143073130
956615433636
1020024424024
1185462a1170
123a6a180420
131b71779917
14d7d64289a
157c2e92a19
hex4a98c7658

20024424024 has 128 divisors (see below), whose sum is σ = 55282106880. Its totient is φ = 5993856000.

The previous prime is 20024424019. The next prime is 20024424029. The reversal of 20024424024 is 42042442002.

It is an interprime number because it is at equal distance from previous prime (20024424019) and next prime (20024424029).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20024423985 and 20024424003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20024424029) 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, 19384212 + ... + 19385244.

It is an arithmetic number, because the mean of its divisors is an integer number (431891460).

Almost surely, 220024424024 is an apocalyptic number.

20024424024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20024424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27641053440).

20024424024 is an abundant number, since it is smaller than the sum of its proper divisors (35257682856).

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

20024424024 is a wasteful number, since it uses less digits than its factorization.

20024424024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20024424024 its reverse (42042442002), we get a palindrome (62066866026).

The spelling of 20024424024 in words is "twenty billion, twenty-four million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 727 808 1033 1111 1212 1454 2066 2181 2222 2424 2908 3099 3333 4132 4362 4444 5816 6198 6666 7997 8264 8724 8888 11363 12396 13332 15994 17448 22726 23991 24792 26664 31988 34089 45452 47982 63976 68178 73427 90904 95964 104333 136356 146854 191928 208666 220281 272712 293708 312999 417332 440562 587416 625998 750991 807697 834664 881124 1147663 1251996 1501982 1615394 1762248 2252973 2295326 2423091 2503992 3003964 3230788 3442989 4505946 4590652 4846182 6007928 6461576 6885978 8260901 9011892 9181304 9692364 13771956 16521802 18023784 19384728 24782703 27543912 33043604 49565406 66087208 75850091 99130812 151700182 198261624 227550273 303400364 455100546 606800728 834351001 910201092 1668702002 1820402184 2503053003 3337404004 5006106006 6674808008 10012212012 20024424024