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41416661448 = 233521304867
BaseRepresentation
bin100110100100101000…
…000001100111001000
310221220101202101200000
4212210220001213020
51134310131131243
631005422443000
72664225546051
oct464450014710
9127811671600
1041416661448
1116623697828
12803a433460
133ba0715986
14200c7b9728
15112606d5d3
hex9a4a019c8

41416661448 has 48 divisors (see below), whose sum is σ = 116324579280. Its totient is φ = 13805553168.

The previous prime is 41416661437. The next prime is 41416661449. The reversal of 41416661448 is 84416661414.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41416661449) 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 11 ways as a sum of consecutive naturals, for example, 10650490 + ... + 10654377.

It is an arithmetic number, because the mean of its divisors is an integer number (2423428735).

Almost surely, 241416661448 is an apocalyptic number.

It is an amenable number.

41416661448 is an abundant number, since it is smaller than the sum of its proper divisors (74907917832).

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

41416661448 is a wasteful number, since it uses less digits than its factorization.

41416661448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21304888 (or 21304872 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 41416661448 in words is "forty-one billion, four hundred sixteen million, six hundred sixty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 21304867 42609734 63914601 85219468 127829202 170438936 191743803 255658404 383487606 511316808 575231409 766975212 1150462818 1533950424 1725694227 2300925636 3451388454 4601851272 5177082681 6902776908 10354165362 13805553816 20708330724 41416661448