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32334020004 = 2231113157120017
BaseRepresentation
bin11110000111010000…
…011111110110100100
310002110102011101220110
4132013100133312210
51012210002120004
622504250133020
72223160430616
oct360720376644
9102412141813
1032334020004
1112792790890
126324721170
133083abbc20
1417ca410db6
15c939ba589
hex78741fda4

32334020004 has 96 divisors (see below), whose sum is σ = 89201218176. Its totient is φ = 8986798080.

The previous prime is 32334019973. The next prime is 32334020029. The reversal of 32334020004 is 40002043323.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209404 + ... + 329420.

It is an arithmetic number, because the mean of its divisors is an integer number (929179356).

Almost surely, 232334020004 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 32334020004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44600609088).

32334020004 is an abundant number, since it is smaller than the sum of its proper divisors (56867198172).

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

32334020004 is a wasteful number, since it uses less digits than its factorization.

32334020004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120205 (or 120203 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 32334020004 its reverse (40002043323), we get a palindrome (72336063327).

The spelling of 32334020004 in words is "thirty-two billion, three hundred thirty-four million, twenty thousand, four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 157 286 314 429 471 572 628 858 942 1716 1727 1884 2041 3454 4082 5181 6123 6908 8164 10362 12246 20724 22451 24492 44902 67353 89804 120017 134706 240034 269412 360051 480068 720102 1320187 1440204 1560221 2640374 3120442 3960561 4680663 5280748 6240884 7921122 9361326 15842244 17162431 18722652 18842669 34324862 37685338 51487293 56528007 68649724 75370676 102974586 113056014 205949172 207269359 226112028 244954697 414538718 489909394 621808077 734864091 829077436 979818788 1243616154 1469728182 2487232308 2694501667 2939456364 5389003334 8083505001 10778006668 16167010002 32334020004