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20033213032 = 23717413371523
BaseRepresentation
bin10010101010000100…
…101001001001101000
31220201011000122222001
4102222010221021220
5312012000304112
613111513140344
71306304333620
oct225204511150
956634018861
1020033213032
118550254508
123a710ba6b4
131b73536211
14d8088d880
157c3b2bc57
hex4aa129268

20033213032 has 128 divisors (see below), whose sum is σ = 46730960640. Its totient is φ = 7854981120.

The previous prime is 20033213029. The next prime is 20033213033. The reversal of 20033213032 is 23031233002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20033213033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13153023 + ... + 13154545.

It is an arithmetic number, because the mean of its divisors is an integer number (365085630).

Almost surely, 220033213032 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 20033213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23365480320).

20033213032 is an abundant number, since it is smaller than the sum of its proper divisors (26697747608).

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

20033213032 is a wasteful number, since it uses less digits than its factorization.

20033213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 20033213032 its reverse (23031233002), we get a palindrome (43064446034).

The spelling of 20033213032 in words is "twenty billion, thirty-three million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 68 82 119 136 164 238 287 328 337 476 574 674 697 952 1148 1348 1394 1523 2296 2359 2696 2788 3046 4718 4879 5576 5729 6092 9436 9758 10661 11458 12184 13817 18872 19516 21322 22916 25891 27634 39032 40103 42644 45832 51782 55268 62443 80206 85288 96719 103564 110536 124886 160412 181237 193438 207128 234889 249772 320824 362474 386876 437101 469778 499544 513251 724948 773752 874202 939556 1026502 1061531 1449896 1644223 1748404 1879112 2053004 2123062 3288446 3496808 3592757 4106008 4246124 6576892 7185514 7430717 8492248 8725267 13153784 14371028 14861434 17450534 21043291 28742056 29722868 34901068 42086582 59445736 61076869 69802136 84173164 122153738 147303037 168346328 244307476 294606074 357735947 488614952 589212148 715471894 1178424296 1430943788 2504151629 2861887576 5008303258 10016606516 20033213032