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4141881648 = 24339587689
BaseRepresentation
bin1111011011100000…
…0001100100110000
3101200122200101111000
43312320001210300
531440310203043
61522554522000
7204432261462
oct36670014460
911618611430
104141881648
111835a90a93
12977136300
1351013a358
142b4128132
1519394e2d3
hexf6e01930

4141881648 has 40 divisors (see below), whose sum is σ = 11888735600. Its totient is φ = 1380627072.

The previous prime is 4141881641. The next prime is 4141881659. The reversal of 4141881648 is 8461881414.

4141881648 is a `hidden beast` number, since 414 + 188 + 16 + 48 = 666.

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 (4141881641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4793413 + ... + 4794276.

It is an arithmetic number, because the mean of its divisors is an integer number (297218390).

Almost surely, 24141881648 is an apocalyptic number.

4141881648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4141881648 is an abundant number, since it is smaller than the sum of its proper divisors (7746853952).

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

4141881648 is a wasteful number, since it uses less digits than its factorization.

4141881648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9587706 (or 9587694 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 4141881648 is about 64357.4521559081. The cubic root of 4141881648 is about 1605.9520039915.

The spelling of 4141881648 in words is "four billion, one hundred forty-one million, eight hundred eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9587689 19175378 28763067 38350756 57526134 76701512 86289201 115052268 153403024 172578402 230104536 258867603 345156804 460209072 517735206 690313608 1035470412 1380627216 2070940824 4141881648