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42627934374642 = 233789406192123
BaseRepresentation
bin10011011000101000101101…
…11000101100101011110010
312120221012011001002011212000
421230110112320230223302
521041404002144442032
6230355000330114430
711656523644500231
oct1154242670545362
9176835131064760
1042627934374642
1112645450712591
1249456b4b7ba16
131aa2a48c0a7a6
14a752bb198b18
154ddcb5168e7c
hex26c516e2caf2

42627934374642 has 16 divisors (see below), whose sum is σ = 94728743054880. Its totient is φ = 14209311458196.

The previous prime is 42627934374637. The next prime is 42627934374643. The reversal of 42627934374642 is 24647343972624.

42627934374642 is a `hidden beast` number, since 4 + 2 + 62 + 79 + 3 + 43 + 7 + 464 + 2 = 666.

42627934374642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×426279343746422 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42627934374642.

It is not an unprimeable number, because it can be changed into a prime (42627934374643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394703096008 + ... + 394703096115.

It is an arithmetic number, because the mean of its divisors is an integer number (5920546440930).

Almost surely, 242627934374642 is an apocalyptic number.

42627934374642 is an abundant number, since it is smaller than the sum of its proper divisors (52100808680238).

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

42627934374642 is a wasteful number, since it uses less digits than its factorization.

42627934374642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789406192134 (or 789406192128 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 63.

The spelling of 42627934374642 in words is "forty-two trillion, six hundred twenty-seven billion, nine hundred thirty-four million, three hundred seventy-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 789406192123 1578812384246 2368218576369 4736437152738 7104655729107 14209311458214 21313967187321 42627934374642