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20332001004 = 223721910317669
BaseRepresentation
bin10010111011111000…
…011011011011101100
31221110222020200000020
4102323320123123230
5313114443013004
613201305202140
71316563104600
oct227370333354
957428220006
1020332001004
118693980317
123b35190350
131bc03cb433
14dac429500
157dee9b8d9
hex4bbe1b6ec

20332001004 has 144 divisors (see below), whose sum is σ = 58658745600. Its totient is φ = 5449659264.

The previous prime is 20332000937. The next prime is 20332001009. The reversal of 20332001004 is 40010023302.

It is not an unprimeable number, because it can be changed into a prime (20332001009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141882 + ... + 1159550.

It is an arithmetic number, because the mean of its divisors is an integer number (407352400).

Almost surely, 220332001004 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 20332001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29329372800).

20332001004 is an abundant number, since it is smaller than the sum of its proper divisors (38326744596).

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

20332001004 is a wasteful number, since it uses less digits than its factorization.

20332001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17812 (or 17803 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20332001004 its reverse (40010023302), we get a palindrome (60342024306).

The spelling of 20332001004 in words is "twenty billion, three hundred thirty-two million, one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 103 114 133 147 196 206 228 266 294 309 399 412 532 588 618 721 798 931 1236 1442 1596 1862 1957 2163 2793 2884 3724 3914 4326 5047 5586 5871 7828 8652 10094 11172 11742 13699 15141 17669 20188 23484 27398 30282 35338 41097 53007 54796 60564 70676 82194 95893 106014 123683 164388 191786 212028 247366 287679 335711 371049 383572 494732 575358 671422 742098 865781 1007133 1150716 1342844 1484196 1731562 1819907 2014266 2349977 2597343 3463124 3639814 4028532 4699954 5194686 5459721 7049931 7279628 9399908 10389372 10919442 12739349 14099862 16449839 21838884 25478698 28199724 32899678 34578233 38218047 49349517 50957396 65799356 69156466 76436094 89175443 98699034 103734699 138312932 152872188 178350886 197398068 207469398 242047631 267526329 356701772 414938796 484095262 535052658 726142893 968190524 1070105316 1452285786 1694333417 2904571572 3388666834 5083000251 6777333668 10166000502 20332001004