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23328364824 = 2334127467607
BaseRepresentation
bin10101101110011110…
…101001100100011000
32020012210102201110000
4111232132221210120
5340234030133244
614414503453000
71454045554302
oct255636514430
966183381400
1023328364824
119991287856
124630757160
13227a10b88b
1411b4366972
15918073169
hex56e7a9918

23328364824 has 160 divisors (see below), whose sum is σ = 66105262080. Its totient is φ = 7685689536.

The previous prime is 23328364823. The next prime is 23328364897. The reversal of 23328364824 is 42846382332.

23328364824 is a `hidden beast` number, since 233 + 283 + 64 + 82 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23328364824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23328364823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38431929 + ... + 38432535.

It is an arithmetic number, because the mean of its divisors is an integer number (413157888).

Almost surely, 223328364824 is an apocalyptic number.

23328364824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23328364824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33052631040).

23328364824 is an abundant number, since it is smaller than the sum of its proper divisors (42776897256).

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

23328364824 is a wasteful number, since it uses less digits than its factorization.

23328364824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1206 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 23328364824 in words is "twenty-three billion, three hundred twenty-eight million, three hundred sixty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 254 324 381 467 508 607 648 762 934 1016 1143 1214 1401 1524 1821 1868 2286 2428 2802 3048 3429 3642 3736 4203 4572 4856 5463 5604 6858 7284 8406 9144 10287 10926 11208 12609 13716 14568 16389 16812 20574 21852 25218 27432 32778 33624 37827 41148 43704 49167 50436 59309 65556 75654 77089 82296 98334 100872 118618 131112 151308 154178 177927 196668 231267 237236 283469 302616 308356 355854 393336 462534 474472 533781 566938 616712 693801 711708 850407 925068 1067562 1133876 1387602 1423416 1601343 1700814 1850136 2081403 2135124 2267752 2551221 2775204 3202686 3401628 4162806 4270248 4804029 5102442 5550408 6244209 6405372 6803256 7653663 8325612 9608058 10204884 12488418 12810744 15307326 16651224 19216116 20409768 22960989 24976836 30614652 36000563 38432232 45921978 49953672 61229304 72001126 91843956 108001689 144002252 183687912 216003378 288004504 324005067 432006756 648010134 864013512 972015201 1296020268 1944030402 2592040536 2916045603 3888060804 5832091206 7776121608 11664182412 23328364824