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42029082627 = 375337761979
BaseRepresentation
bin100111001001001000…
…001110100000000011
311000111002010121120220
4213021020032200003
51142033421121002
631150301034123
73015343210410
oct471110164003
9130432117526
1042029082627
1116908359934
12818b555943
133c6a57017c
142069c77107
15115ebe17bc
hex9c920e803

42029082627 has 16 divisors (see below), whose sum is σ = 65252701440. Its totient is φ = 23563474272.

The previous prime is 42029082617. The next prime is 42029082653. The reversal of 42029082627 is 72628092024.

It is a happy number.

It is not a de Polignac number, because 42029082627 - 24 = 42029082611 is a prime.

It is a super-2 number, since 2×420290826272 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42029082617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18879877 + ... + 18882102.

It is an arithmetic number, because the mean of its divisors is an integer number (4078293840).

Almost surely, 242029082627 is an apocalyptic number.

42029082627 is a deficient number, since it is larger than the sum of its proper divisors (23223618813).

42029082627 is a wasteful number, since it uses less digits than its factorization.

42029082627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37762042.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 42029082627 in words is "forty-two billion, twenty-nine million, eighty-two thousand, six hundred twenty-seven".

Divisors: 1 3 7 21 53 159 371 1113 37761979 113285937 264333853 793001559 2001384887 6004154661 14009694209 42029082627