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23993211312 = 243377934263
BaseRepresentation
bin10110010110000110…
…110101100110110000
32021221010110102101000
4112112012311212300
5343114230230222
615004453442000
71506400634250
oct262606654660
967833412330
1023993211312
11a1a25a6864
124797340300
132354a90375
14123878d960
159565ee9ac
hex5961b59b0

23993211312 has 80 divisors (see below), whose sum is σ = 78707898880. Its totient is φ = 6855202368.

The previous prime is 23993211311. The next prime is 23993211331. The reversal of 23993211312 is 21311239932.

23993211312 is a `hidden beast` number, since 239 + 93 + 21 + 1 + 312 = 666.

It is a super-2 number, since 2×239932113122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23993211311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3964108 + ... + 3970155.

It is an arithmetic number, because the mean of its divisors is an integer number (983848736).

Almost surely, 223993211312 is an apocalyptic number.

It is an amenable number.

23993211312 is an abundant number, since it is smaller than the sum of its proper divisors (54714687568).

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

23993211312 is a wasteful number, since it uses less digits than its factorization.

23993211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934287 (or 7934275 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The spelling of 23993211312 in words is "twenty-three billion, nine hundred ninety-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 7934263 15868526 23802789 31737052 47605578 55539841 63474104 71408367 95211156 111079682 126948208 142816734 166619523 190422312 214225101 222159364 285633468 333239046 380844624 428450202 444318728 499858569 571266936 666478092 856900404 888637456 999717138 1142533872 1332956184 1499575707 1713800808 1999434276 2665912368 2999151414 3427601616 3998868552 5998302828 7997737104 11996605656 23993211312