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38442256605 = 3252573324017
BaseRepresentation
bin100011110011010101…
…100100100011011101
310200020002212222021200
4203303111210203131
51112212204202410
625354330550113
72530430534604
oct436325444335
9120202788250
1038442256605
1115337719405
12754a298339
1338184234cc
141c09756a3b
15eeed833c0
hex8f35648dd

38442256605 has 24 divisors (see below), whose sum is σ = 66892538232. Its totient is φ = 20422754304.

The previous prime is 38442256579. The next prime is 38442256627. The reversal of 38442256605 is 50665224483.

38442256605 is a `hidden beast` number, since 3 + 84 + 4 + 2 + 2 + 566 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22898650329 + 15543606276 = 151323^2 + 124674^2 .

It is not a de Polignac number, because 38442256605 - 27 = 38442256477 is a prime.

It is a super-2 number, since 2×384422566052 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650444 + ... + 1673573.

It is an arithmetic number, because the mean of its divisors is an integer number (2787189093).

Almost surely, 238442256605 is an apocalyptic number.

It is an amenable number.

38442256605 is a deficient number, since it is larger than the sum of its proper divisors (28450281627).

38442256605 is a wasteful number, since it uses less digits than its factorization.

38442256605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324285 (or 3324282 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 38442256605 in words is "thirty-eight billion, four hundred forty-two million, two hundred fifty-six thousand, six hundred five".

Divisors: 1 3 5 9 15 45 257 771 1285 2313 3855 11565 3324017 9972051 16620085 29916153 49860255 149580765 854272369 2562817107 4271361845 7688451321 12814085535 38442256605