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42586149564 = 22327295827333
BaseRepresentation
bin100111101010010101…
…010001001010111100
311001220220100112202200
4213222111101022330
51144204023241224
631321440551500
73035216204310
oct475225211274
9131826315680
1042586149564
1117073853532
128306022590
134028ab618a
1420bdc45b40
151193a7d5c9
hex9ea5512bc

42586149564 has 72 divisors (see below), whose sum is σ = 127268974560. Its totient is φ = 11747901312.

The previous prime is 42586149563. The next prime is 42586149569. The reversal of 42586149564 is 46594168524.

It is a happy number.

42586149564 is a `hidden beast` number, since 4 + 2 + 586 + 1 + 4 + 9 + 56 + 4 = 666.

42586149564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42586149564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42586149563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2906359 + ... + 2920974.

Almost surely, 242586149564 is an apocalyptic number.

It is an amenable number.

42586149564 is an abundant number, since it is smaller than the sum of its proper divisors (84682824996).

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

42586149564 is a wasteful number, since it uses less digits than its factorization.

42586149564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5827379 (or 5827374 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 42586149564 in words is "forty-two billion, five hundred eighty-six million, one hundred forty-nine thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 5827333 11654666 17481999 23309332 34963998 40791331 52445997 69927996 81582662 104891994 122373993 163165324 168992657 209783988 244747986 337985314 367121979 489495972 506977971 675970628 734243958 1013955942 1182948599 1468487916 1520933913 2027911884 2365897198 3041867826 3548845797 4731794396 6083735652 7097691594 10646537391 14195383188 21293074782 42586149564