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4066041888 = 25343742397
BaseRepresentation
bin1111001001011010…
…1110000000100000
3101111100222022220000
43302112232000200
531311401320023
61511245220000
7202521533346
oct36226560040
911440868800
104066041888
1117a71a14a7
12955861600
134ca50575c
142a8025996
1518be6d243
hexf25ae020

4066041888 has 120 divisors (see below), whose sum is σ = 12281598252. Its totient is φ = 1318685184.

The previous prime is 4066041887. The next prime is 4066041893. The reversal of 4066041888 is 8881406604.

4066041888 is a `hidden beast` number, since 406 + 60 + 4 + 188 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3758670864 + 307371024 = 61308^2 + 17532^2 .

It is not an unprimeable number, because it can be changed into a prime (4066041883) 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 19 ways as a sum of consecutive naturals, for example, 74706 + ... + 117102.

Almost surely, 24066041888 is an apocalyptic number.

4066041888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066041888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140799126).

4066041888 is an abundant number, since it is smaller than the sum of its proper divisors (8215556364).

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

4066041888 is a wasteful number, since it uses less digits than its factorization.

4066041888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42456 (or 42439 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4066041888 is about 63765.5227219224. The cubic root of 4066041888 is about 1596.0896552044.

The spelling of 4066041888 in words is "four billion, sixty-six million, forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1776 1998 2592 2664 2997 3552 3996 5328 5994 7992 10656 11988 15984 23976 31968 42397 47952 84794 95904 127191 169588 254382 339176 381573 508764 678352 763146 1017528 1144719 1356704 1526292 1568689 2035056 2289438 3052584 3137378 3434157 4070112 4578876 4706067 6105168 6274756 6868314 9157752 9412134 12210336 12549512 13736628 14118201 18315504 18824268 25099024 27473256 28236402 36631008 37648536 42354603 50198048 54946512 56472804 75297072 84709206 109893024 112945608 127063809 150594144 169418412 225891216 254127618 338836824 451782432 508255236 677673648 1016510472 1355347296 2033020944 4066041888