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23104341432 = 23322335713907
BaseRepresentation
bin10101100001001000…
…000100010110111000
32012122011220011010100
4111201020010112320
5334304202411212
614340342115400
71445355443004
oct254110042670
965564804110
1023104341432
119886886757
12458971bb60
132242892a63
1411926cd704
15903570bdc
hex5612045b8

23104341432 has 96 divisors (see below), whose sum is σ = 65329879680. Its totient is φ = 7362653760.

The previous prime is 23104341431. The next prime is 23104341433. The reversal of 23104341432 is 23414340132.

23104341432 is a `hidden beast` number, since 2 + 310 + 4 + 341 + 4 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (23104341431) and next prime (23104341433).

It is a junction number, because it is equal to n+sod(n) for n = 23104341396 and 23104341405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23104341431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5911623 + ... + 5915529.

It is an arithmetic number, because the mean of its divisors is an integer number (680519580).

Almost surely, 223104341432 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 23104341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32664939840).

23104341432 is an abundant number, since it is smaller than the sum of its proper divisors (42225538248).

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

23104341432 is a wasteful number, since it uses less digits than its factorization.

23104341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23104341432 its reverse (23414340132), we get a palindrome (46518681564).

The spelling of 23104341432 in words is "twenty-three billion, one hundred four million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 3571 3907 7142 7814 10713 11721 14284 15628 21426 23442 28568 31256 32139 35163 42852 46884 64278 70326 82133 85704 89861 93768 128556 140652 164266 179722 246399 257112 269583 281304 328532 359444 492798 539166 657064 718888 739197 808749 985596 1078332 1478394 1617498 1971192 2156664 2956788 3234996 5913576 6469992 13951897 27903794 41855691 55807588 83711382 111615176 125567073 167422764 251134146 320893631 334845528 502268292 641787262 962680893 1004536584 1283574524 1925361786 2567149048 2888042679 3850723572 5776085358 7701447144 11552170716 23104341432