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42263436224 = 262517873343
BaseRepresentation
bin100111010111000110…
…001101101111000000
311001002102010000021202
4213113012031233000
51143023414424344
631225432040332
73024220165142
oct472706155700
9131072100252
1042263436224
1116a18676199
128235b330a8
133ca6c94c39
14208d03cc92
15117558494e
hex9d718dbc0

42263436224 has 56 divisors (see below), whose sum is σ = 84332844288. Its totient is φ = 21014496000.

The previous prime is 42263436217. The next prime is 42263436233.

42263436224 is nontrivially palindromic in base 10.

42263436224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12640697 + ... + 12644039.

It is an arithmetic number, because the mean of its divisors is an integer number (1505943648).

Almost surely, 242263436224 is an apocalyptic number.

It is an amenable number.

42263436224 is a deficient number, since it is larger than the sum of its proper divisors (42069408064).

42263436224 is a wasteful number, since it uses less digits than its factorization.

42263436224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4383 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

The spelling of 42263436224 in words is "forty-two billion, two hundred sixty-three million, four hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 251 502 787 1004 1574 2008 3148 3343 4016 6296 6686 8032 12592 13372 16064 25184 26744 50368 53488 106976 197537 213952 395074 790148 839093 1580296 1678186 2630941 3160592 3356372 5261882 6321184 6712744 10523764 12642368 13425488 21047528 26850976 42095056 53701952 84190112 168380224 660366191 1320732382 2641464764 5282929528 10565859056 21131718112 42263436224