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42762308001 = 3767263115561
BaseRepresentation
bin100111110100110101…
…010000100110100001
311002101011211022201020
4213310311100212201
51200034122324001
631351132400053
73042455422620
oct476465204641
9132334738636
1042762308001
1117154231a16
128355016029
13405644363a
1420d93bd6b7
1511a4278736
hex9f4d509a1

42762308001 has 32 divisors (see below), whose sum is σ = 66386208768. Its totient is φ = 23979162240.

The previous prime is 42762307969. The next prime is 42762308003. The reversal of 42762308001 is 10080326724.

It is not a de Polignac number, because 42762308001 - 25 = 42762307969 is a prime.

It is a super-2 number, since 2×427623080012 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42762308003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312261 + ... + 427821.

It is an arithmetic number, because the mean of its divisors is an integer number (2074569024).

Almost surely, 242762308001 is an apocalyptic number.

It is an amenable number.

42762308001 is a deficient number, since it is larger than the sum of its proper divisors (23623900767).

42762308001 is a wasteful number, since it uses less digits than its factorization.

42762308001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115901.

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 42762308001 in words is "forty-two billion, seven hundred sixty-two million, three hundred eight thousand, one".

Divisors: 1 3 7 21 67 201 263 469 789 1407 1841 5523 17621 52863 115561 123347 346683 370041 808927 2426781 7742587 23227761 30392543 54198109 91177629 162594327 212747801 638243403 2036300381 6108901143 14254102667 42762308001