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42523213200 = 24352132725847
BaseRepresentation
bin100111100110100101…
…001011110110010000
311001202111221001022020
4213212211023312100
51144041420310300
631311312011440
73033523230336
oct474645136620
9131674831266
1042523213200
1117041277506
1282a8b30b80
134018a4b820
1420b5741b56
15118d29a8a0
hex9e694bd90

42523213200 has 120 divisors (see below), whose sum is σ = 146694235968. Its totient is φ = 10467248640.

The previous prime is 42523213171. The next prime is 42523213217. The reversal of 42523213200 is 231232524.

42523213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347324 + ... + 1378523.

Almost surely, 242523213200 is an apocalyptic number.

42523213200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42523213200 is an abundant number, since it is smaller than the sum of its proper divisors (104171022768).

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

42523213200 is a wasteful number, since it uses less digits than its factorization.

42523213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725881 (or 2725870 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 42523213200 its reverse (231232524), we get a palindrome (42754445724).

The spelling of 42523213200 in words is "forty-two billion, five hundred twenty-three million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 2725847 5451694 8177541 10903388 13629235 16355082 21806776 27258470 32710164 35436011 40887705 43613552 54516940 65420328 68146175 70872022 81775410 106308033 109033880 130840656 136292350 141744044 163550820 177180055 204438525 212616066 218067760 272584700 283488088 327101640 354360110 408877050 425232132 531540165 545169400 566976176 654203280 708720220 817754100 850464264 885900275 1063080330 1090338800 1417440440 1635508200 1700928528 1771800550 2126160660 2657700825 2834880880 3271016400 3543601100 4252321320 5315401650 7087202200 8504642640 10630803300 14174404400 21261606600 42523213200