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20041005424 = 2411317197281
BaseRepresentation
bin10010101010100010…
…010111100101110000
31220201200200120010011
4102222202113211300
5312020444133144
613112352144304
71306430510146
oct225242274560
956650616104
1020041005424
118554697000
123a73838094
131b75033cbb
14d8191b596
157c466aa34
hex4aa897970

20041005424 has 160 divisors (see below), whose sum is σ = 45613098432. Its totient is φ = 8499814400.

The previous prime is 20041005419. The next prime is 20041005431. The reversal of 20041005424 is 42450014002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20041005395 and 20041005404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71320164 + ... + 71320444.

Almost surely, 220041005424 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 20041005424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22806549216).

20041005424 is an abundant number, since it is smaller than the sum of its proper divisors (25572093008).

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

20041005424 is a wasteful number, since it uses less digits than its factorization.

20041005424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 20041005424 its reverse (42450014002), we get a palindrome (62491019426).

The spelling of 20041005424 in words is "twenty billion, forty-one million, five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 197 242 272 281 374 394 484 562 748 788 968 1124 1331 1496 1576 1936 2057 2167 2248 2662 2992 3091 3152 3349 4114 4334 4496 4777 5324 6182 6698 8228 8668 9554 10648 12364 13396 16456 17336 19108 21296 22627 23837 24728 26792 32912 34001 34672 36839 38216 45254 47674 49456 52547 53584 55357 68002 73678 76432 90508 95348 105094 110714 136004 147356 181016 190696 210188 221428 262207 272008 294712 362032 374011 381392 405229 420376 442856 524414 544016 578017 589424 608927 748022 810458 840752 885712 941069 1048828 1156034 1217854 1496044 1620916 1882138 2097656 2312068 2435708 2992088 3241832 3764276 4195312 4457519 4624136 4871416 5984176 6358187 6483664 6698197 7528552 8915038 9248272 9742832 10351759 12716374 13396394 15057104 17830076 20703518 25432748 26792788 35660152 41407036 50865496 53585576 71320304 73680167 82814072 101730992 107171152 113869349 147360334 165628144 227738698 294720668 455477396 589441336 910954792 1178882672 1252562839 1821909584 2505125678 5010251356 10020502712 20041005424