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10232334233264 = 24111337120869569
BaseRepresentation
bin1001010011100110011010…
…1001011010111010110000
31100020012102222002011202202
42110321212221122322300
52320121310030431024
633432400334002332
72104155531631043
oct224714651327260
940205388064682
1010232334233264
113295565a11250
1211931180463a8
13592b9c30c6b0
14275367678c5a
1512b276dc5bae
hex94e66a5aeb0

10232334233264 has 80 divisors (see below), whose sum is σ = 23920571381280. Its totient is φ = 4177252270080.

The previous prime is 10232334233263. The next prime is 10232334233269. The reversal of 10232334233264 is 46233243323201.

It is a happy number.

10232334233264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102323342332642 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10232334233263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60350129 + ... + 60519440.

It is an arithmetic number, because the mean of its divisors is an integer number (299007142266).

Almost surely, 210232334233264 is an apocalyptic number.

It is an amenable number.

10232334233264 is an abundant number, since it is smaller than the sum of its proper divisors (13688237148016).

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

10232334233264 is a wasteful number, since it uses less digits than its factorization.

10232334233264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120869638 (or 120869632 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 38.

Adding to 10232334233264 its reverse (46233243323201), we get a palindrome (56465577556465).

The spelling of 10232334233264 in words is "ten trillion, two hundred thirty-two billion, three hundred thirty-four million, two hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 208 286 296 407 481 572 592 814 962 1144 1628 1924 2288 3256 3848 5291 6512 7696 10582 21164 42328 84656 120869569 241739138 483478276 966956552 1329565259 1571304397 1933913104 2659130518 3142608794 4472174053 5318261036 6285217588 8944348106 10636522072 12570435176 17284348367 17888696212 21273044144 25140870352 34568696734 35777392424 49193914583 58138262689 69137393468 71554784848 98387829166 116276525378 138274786936 196775658332 232553050756 276549573872 393551316664 465106101512 639520889579 787102633328 930212203024 1279041779158 2558083558316 5116167116632 10232334233264