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23322384048 = 24317372812749
BaseRepresentation
bin10101101110000111…
…110101011010110000
32020012101011212100210
4111232013311122300
5340231012242143
614414131344120
71453643664525
oct255607653260
966171155323
1023322384048
119988972367
12462a752040
132278ac6562
1411b364b14c
15917791033
hex56e1f56b0

23322384048 has 160 divisors (see below), whose sum is σ = 65774808000. Its totient is φ = 7091159040.

The previous prime is 23322383971. The next prime is 23322384061. The reversal of 23322384048 is 84048322332.

It is a junction number, because it is equal to n+sod(n) for n = 23322383997 and 23322384015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8482578 + ... + 8485326.

It is an arithmetic number, because the mean of its divisors is an integer number (411092550).

Almost surely, 223322384048 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 23322384048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32887404000).

23322384048 is an abundant number, since it is smaller than the sum of its proper divisors (42452423952).

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

23322384048 is a wasteful number, since it uses less digits than its factorization.

23322384048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 23322384048 in words is "twenty-three billion, three hundred twenty-two million, three hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 281 296 408 444 562 592 629 816 843 888 1124 1258 1686 1776 1887 2248 2516 2749 3372 3774 4496 4777 5032 5498 6744 7548 8247 9554 10064 10397 10996 13488 14331 15096 16494 19108 20794 21992 28662 30192 31191 32988 38216 41588 43984 46733 57324 62382 65976 76432 83176 93466 101713 114648 124764 131952 140199 166352 176749 186932 203426 229296 249528 280398 305139 353498 373864 406852 499056 530247 560796 610278 706996 747728 772469 813704 1060494 1121592 1220556 1413992 1544938 1627408 1729121 2120988 2243184 2317407 2441112 2827984 3089876 3458242 4241976 4634814 4882224 5187363 6179752 6916484 8483952 9269628 10374726 12359504 13131973 13832968 18539256 20749452 26263946 27665936 28581353 37078512 39395919 41498904 52527892 57162706 78791838 82997808 85744059 105055784 114325412 157583676 171488118 210111568 228650824 315167352 342976236 457301648 485883001 630334704 685952472 971766002 1371904944 1457649003 1943532004 2915298006 3887064008 5830596012 7774128016 11661192024 23322384048