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41606365072 = 2419418937507
BaseRepresentation
bin100110101111111011…
…101011111110010000
310222101121201100010011
4212233323223332100
51140202212140242
631040320444304
73002021160616
oct465773537620
9128347640104
1041606365072
1116710787988
128091a79694
133c00b0653c
142029a7b6b6
151137a41d17
hex9afeebf90

41606365072 has 80 divisors (see below), whose sum is σ = 87903748800. Its totient is φ = 19011041280.

The previous prime is 41606365067. The next prime is 41606365093. The reversal of 41606365072 is 27056360614.

It is a super-2 number, since 2×416063650722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1090543 + ... + 1128049.

It is an arithmetic number, because the mean of its divisors is an integer number (1098796860).

Almost surely, 241606365072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41606365072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43951874400).

41606365072 is an abundant number, since it is smaller than the sum of its proper divisors (46297383728).

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

41606365072 is a wasteful number, since it uses less digits than its factorization.

41606365072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37664 (or 37658 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 41606365072 in words is "forty-one billion, six hundred six million, three hundred sixty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 19 38 41 76 82 89 152 164 178 304 328 356 656 712 779 1424 1558 1691 3116 3382 3649 6232 6764 7298 12464 13528 14596 27056 29192 37507 58384 69331 75014 138662 150028 277324 300056 554648 600112 712633 1109296 1425266 1537787 2850532 3075574 3338123 5701064 6151148 6676246 11402128 12302296 13352492 24604592 26704984 29217953 53409968 58435906 63424337 116871812 126848674 136863043 233743624 253697348 273726086 467487248 507394696 547452172 1014789392 1094904344 2189808688 2600397817 5200795634 10401591268 20803182536 41606365072