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23312040032 = 253767714139
BaseRepresentation
bin10101101101100000…
…011000000001100000
32020011122201100001002
4111231200120001200
5340220340240112
614413121531132
71453460033201
oct255540300140
966148640032
1023312040032
119983047796
1246271a3aa8
132276914238
1411b21175a8
159168eb1c2
hex56d818060

23312040032 has 96 divisors (see below), whose sum is σ = 48525039360. Its totient is φ = 11011714560.

The previous prime is 23312040029. The next prime is 23312040067. The reversal of 23312040032 is 23004021332.

It is a super-2 number, since 2×233120400322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23312039986 and 23312040013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5630219 + ... + 5634357.

It is an arithmetic number, because the mean of its divisors is an integer number (505469160).

Almost surely, 223312040032 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 23312040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24262519680).

23312040032 is an abundant number, since it is smaller than the sum of its proper divisors (25212999328).

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

23312040032 is a wasteful number, since it uses less digits than its factorization.

23312040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23312040032 its reverse (23004021332), we get a palindrome (46316061364).

The spelling of 23312040032 in words is "twenty-three billion, three hundred twelve million, forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 67 71 74 134 142 148 268 284 296 536 568 592 1072 1136 1184 2144 2272 2479 2627 4139 4757 4958 5254 8278 9514 9916 10508 16556 19028 19832 21016 33112 38056 39664 42032 66224 76112 79328 84064 132448 152224 153143 176009 277313 293869 306286 352018 554626 587738 612572 704036 1109252 1175476 1225144 1408072 2218504 2350952 2450288 2816144 4437008 4701904 4900576 5632288 8874016 9403808 10260581 10873153 19689223 20521162 21746306 39378446 41042324 43492612 78756892 82084648 86985224 157513784 164169296 173970448 315027568 328338592 347940896 630055136 728501251 1457002502 2914005004 5828010008 11656020016 23312040032