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42162829056 = 283218299839
BaseRepresentation
bin100111010001000110…
…011011011100000000
311000211101210122012100
4213101012123130000
51142322141012211
631211435430400
73021556063605
oct472106333400
9130741718170
1042162829056
11169768aa577
1282082b5400
133c8c19ac7a
14207d9306ac
15116b810156
hex9d119b700

42162829056 has 54 divisors (see below), whose sum is σ = 121565837120. Its totient is φ = 14054275584.

The previous prime is 42162829019. The next prime is 42162829057. The reversal of 42162829056 is 65092826124.

42162829056 is a `hidden beast` number, since 421 + 62 + 82 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×421628290562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42162829057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9147616 + ... + 9152223.

Almost surely, 242162829056 is an apocalyptic number.

It is an amenable number.

42162829056 is an abundant number, since it is smaller than the sum of its proper divisors (79403008064).

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

42162829056 is a wasteful number, since it uses less digits than its factorization.

42162829056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18299861 (or 18299844 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42162829056 in words is "forty-two billion, one hundred sixty-two million, eight hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 18299839 36599678 54899517 73199356 109799034 146398712 164698551 219598068 292797424 329397102 439196136 585594848 658794204 878392272 1171189696 1317588408 1756784544 2342379392 2635176816 3513569088 4684758784 5270353632 7027138176 10540707264 14054276352 21081414528 42162829056