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42521730800 = 245222722063
BaseRepresentation
bin100111100110011111…
…100001111011110000
311001202102010201211112
4213212133201323300
51144041030341200
631311220132452
73033504514433
oct474637417360
9131672121745
1042521730800
111704045478a
1282a8537128
13401864cb73
1420b547781a
15118d0a6535
hex9e67e1ef0

42521730800 has 90 divisors (see below), whose sum is σ = 102660216528. Its totient is φ = 16925555840.

The previous prime is 42521730793. The next prime is 42521730809. The reversal of 42521730800 is 803712524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42521730809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20610569 + ... + 20612631.

Almost surely, 242521730800 is an apocalyptic number.

42521730800 is a gapful number since it is divisible by the number (40) 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 42521730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51330108264).

42521730800 is an abundant number, since it is smaller than the sum of its proper divisors (60138485728).

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

42521730800 is a wasteful number, since it uses less digits than its factorization.

42521730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 42521730800 in words is "forty-two billion, five hundred twenty-one million, seven hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 227 400 454 908 1135 1816 2063 2270 3632 4126 4540 5675 8252 9080 10315 11350 16504 18160 20630 22700 33008 41260 45400 51529 51575 82520 90800 103058 103150 165040 206116 206300 257645 412232 412600 468301 515290 824464 825200 936602 1030580 1288225 1873204 2061160 2341505 2576450 3746408 4122320 4683010 5152900 7492816 9366020 10305800 11707525 18732040 20611600 23415050 37464080 46830100 93660200 106304327 187320400 212608654 425217308 531521635 850434616 1063043270 1700869232 2126086540 2657608175 4252173080 5315216350 8504346160 10630432700 21260865400 42521730800