Search a number
-
+
12364999824 = 2432314975169
BaseRepresentation
bin10111000010000001…
…01110110010010000
31011220201221001222110
423201000232302100
5200310414443244
65402544505320
7615262523112
oct134100566220
934821831873
1012364999824
1152757a1421
12249101b240
131220970258
148542b13b2
154c581d9b9
hex2e102ec90

12364999824 has 80 divisors (see below), whose sum is σ = 33555888000. Its totient is φ = 3915952128.

The previous prime is 12364999819. The next prime is 12364999831. The reversal of 12364999824 is 42899946321.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 126912 + ... + 202080.

It is an arithmetic number, because the mean of its divisors is an integer number (419448600).

Almost surely, 212364999824 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 12364999824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777944000).

12364999824 is an abundant number, since it is smaller than the sum of its proper divisors (21190888176).

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

12364999824 is a wasteful number, since it uses less digits than its factorization.

12364999824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75352 (or 75346 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 57.

The spelling of 12364999824 in words is "twelve billion, three hundred sixty-four million, nine hundred ninety-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 149 184 276 298 368 447 552 596 894 1104 1192 1788 2384 3427 3576 6854 7152 10281 13708 20562 27416 41124 54832 75169 82248 150338 164496 225507 300676 451014 601352 902028 1202704 1728887 1804056 3457774 3608112 5186661 6915548 10373322 11200181 13831096 20746644 22400362 27662192 33600543 41493288 44800724 67201086 82986576 89601448 134402172 179202896 257604163 268804344 515208326 537608688 772812489 1030416652 1545624978 2060833304 3091249956 4121666608 6182499912 12364999824