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23842344324832 = 25111512771619383
BaseRepresentation
bin1010110101111001110100…
…11101101100111011100000
310010102022020222012002200121
411122330322131230323200
511111113110121343312
6122413004411530024
75010360342633055
oct532747235547340
9103368228162617
1023842344324832
117662532891490
122810980a59914
13103c428736bc7
145c5d9317302c
152b52da0cd707
hex15af3a76cee0

23842344324832 has 96 divisors (see below), whose sum is σ = 51732089869824. Its totient is φ = 10726786368000.

The previous prime is 23842344324803. The next prime is 23842344324853.

23842344324832 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23842344324832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13913413 + ... + 15532795.

It is an arithmetic number, because the mean of its divisors is an integer number (538875936144).

Almost surely, 223842344324832 is an apocalyptic number.

23842344324832 is a gapful number since it is divisible by the number (22) 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 23842344324832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25866044934912).

23842344324832 is an abundant number, since it is smaller than the sum of its proper divisors (27889745544992).

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

23842344324832 is a wasteful number, since it uses less digits than its factorization.

23842344324832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619832 (or 1619824 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 52.

The spelling of 23842344324832 in words is "twenty-three trillion, eight hundred forty-two billion, three hundred forty-four million, three hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 151 176 277 302 352 554 604 1108 1208 1661 2216 2416 3047 3322 4432 4832 6094 6644 8864 12188 13288 24376 26576 41827 48752 53152 83654 97504 167308 334616 460097 669232 920194 1338464 1619383 1840388 3238766 3680776 6477532 7361552 12955064 14723104 17813213 25910128 35626426 51820256 71252852 142505704 244526833 285011408 448569091 489053666 570022816 897138182 978107332 1794276364 1956214664 2689795163 3588552728 3912429328 4934260001 5379590326 7177105456 7824858656 9868520002 10759180652 14354210912 19737040004 21518361304 39474080008 43036722608 67733932741 78948160016 86073445216 135467865482 157896320032 270935730964 541871461928 745073260151 1083742923856 1490146520302 2167485847712 2980293040604 5960586081208 11921172162416 23842344324832