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42261759680 = 265718866857
BaseRepresentation
bin100111010110111111…
…110100011011000000
311001002021221211111112
4213112333310123000
51143023002302210
631225332102452
73024200013230
oct472677643300
9131067854445
1042261759680
1116a17730618
128235464a28
133ca6828aba
14208cb23cc0
151175352d05
hex9d6ff46c0

42261759680 has 56 divisors (see below), whose sum is σ = 115012366368. Its totient is φ = 14489745408.

The previous prime is 42261759619. The next prime is 42261759689. The reversal of 42261759680 is 8695716224.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (42261759689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9431189 + ... + 9435668.

Almost surely, 242261759680 is an apocalyptic number.

42261759680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42261759680 is an abundant number, since it is smaller than the sum of its proper divisors (72750606688).

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

42261759680 is a wasteful number, since it uses less digits than its factorization.

42261759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18866881 (or 18866871 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 42261759680 in words is "forty-two billion, two hundred sixty-one million, seven hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 18866857 37733714 75467428 94334285 132067999 150934856 188668570 264135998 301869712 377337140 528271996 603739424 660339995 754674280 1056543992 1207478848 1320679990 1509348560 2113087984 2641359980 3018697120 4226175968 5282719960 6037394240 8452351936 10565439920 21130879840 42261759680