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32133210564 = 22371397303361
BaseRepresentation
bin11101111011010010…
…011110000111000100
310001221102022020010210
4131323102132013010
51011302100214224
622432314115420
72215201532430
oct357322360704
9101842266123
1032133210564
111269a3a5774
12628941bb70
133051310380
1417ab89b9c0
15c81051429
hex77b49e1c4

32133210564 has 96 divisors (see below), whose sum is σ = 93231636736. Its totient is φ = 8387297280.

The previous prime is 32133210511. The next prime is 32133210583. The reversal of 32133210564 is 46501233123.

It is a super-2 number, since 2×321332105642 (a number of 22 digits) contains 22 as substring.

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, 45757 + ... + 257604.

Almost surely, 232133210564 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 32133210564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46615818368).

32133210564 is an abundant number, since it is smaller than the sum of its proper divisors (61098426172).

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

32133210564 is a wasteful number, since it uses less digits than its factorization.

32133210564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303485 (or 303483 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 32133210564 its reverse (46501233123), we get a palindrome (78634443687).

The spelling of 32133210564 in words is "thirty-two billion, one hundred thirty-three million, two hundred ten thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 97 156 182 194 273 291 364 388 546 582 679 1092 1164 1261 1358 2037 2522 2716 3783 4074 5044 7566 8148 8827 15132 17654 26481 35308 52962 105924 303361 606722 910083 1213444 1820166 2123527 3640332 3943693 4247054 6370581 7887386 8494108 11831079 12741162 15774772 23662158 25482324 27605851 29426017 47324316 55211702 58852034 82817553 88278051 110423404 117704068 165635106 176556102 205982119 331270212 353112204 382538221 411964238 617946357 765076442 823928476 1147614663 1235892714 1530152884 2295229326 2471785428 2677767547 4590458652 5355535094 8033302641 10711070188 16066605282 32133210564