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41657228480 = 2657237591217
BaseRepresentation
bin100110110010111101…
…101101110011000000
310222112011102110121002
4212302331231303000
51140303222302410
631045334551132
73003206412500
oct466275556300
9128464373532
1041657228480
111673746835a
1280a6b084a8
133c0b50492a
14203271ba00
15113c23c7a5
hex9b2f6dcc0

41657228480 has 336 divisors, whose sum is σ = 120617955360. Its totient is φ = 13649707008.

The previous prime is 41657228461. The next prime is 41657228491. The reversal of 41657228480 is 8482275614.

It is a super-2 number, since 2×416572284802 (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34228832 + ... + 34230048.

It is an arithmetic number, because the mean of its divisors is an integer number (358982010).

Almost surely, 241657228480 is an apocalyptic number.

41657228480 is a gapful number since it is divisible by the number (40) 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 41657228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60308977680).

41657228480 is an abundant number, since it is smaller than the sum of its proper divisors (78960726880).

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

41657228480 is a wasteful number, since it uses less digits than its factorization.

41657228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 41657228480 in words is "forty-one billion, six hundred fifty-seven million, two hundred twenty-eight thousand, four hundred eighty".