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3204213002536 = 23713271161310069
BaseRepresentation
bin101110101000001001111…
…110100101000100101000
3102100022122010001122221111
4232220021332211010220
5404444212012040121
610451554540520104
7450332246065240
oct56501176450450
912308563048844
103204213002536
111025998785057
12438bb8550034
131a320492b190
14b1128736b20
15585379b52e1
hex2ea09fa5128

3204213002536 has 128 divisors (see below), whose sum is σ = 7426961740800. Its totient is φ = 1262014940160.

The previous prime is 3204213002519. The next prime is 3204213002537. The reversal of 3204213002536 is 6352003124023.

It is a junction number, because it is equal to n+sod(n) for n = 3204213002498 and 3204213002507.

It is not an unprimeable number, because it can be changed into a prime (3204213002537) by changing a digit.

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, 318220510 + ... + 318230578.

It is an arithmetic number, because the mean of its divisors is an integer number (58023138600).

Almost surely, 23204213002536 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 3204213002536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713480870400).

3204213002536 is an abundant number, since it is smaller than the sum of its proper divisors (4222748738264).

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

3204213002536 is a wasteful number, since it uses less digits than its factorization.

3204213002536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979 (or 11975 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 3204213002536 its reverse (6352003124023), we get a palindrome (9556216126559).

The spelling of 3204213002536 in words is "three trillion, two hundred four billion, two hundred thirteen million, two thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 271 364 542 728 1084 1613 1897 2168 3226 3523 3794 6452 7046 7588 10069 11291 12904 14092 15176 20138 20969 22582 24661 28184 40276 41938 45164 49322 70483 80552 83876 90328 98644 130897 140966 146783 167752 197288 261794 281932 293566 437123 523588 563864 587132 874246 916279 1047176 1174264 1748492 1832558 2728699 3059861 3496984 3665116 5457398 5682599 6119722 7330232 10914796 11365198 12239444 16241297 19100893 21829592 22730396 24478888 32482594 35473087 38201786 39778193 45460792 64965188 70946174 76403572 79556386 113689079 129930376 141892348 152807144 159112772 211136861 227378158 248311609 283784696 318225544 422273722 454756316 496623218 844547444 909512632 993246436 1477958027 1689094888 1986492872 2955916054 4401391487 5911832108 8802782974 11823664216 17605565948 30809740409 35211131896 57218089331 61619480818 114436178662 123238961636 228872357324 246477923272 400526625317 457744714648 801053250634 1602106501268 3204213002536