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4161323616 = 25369162731
BaseRepresentation
bin1111100000001000…
…1100001001100000
3101202000021010211220
43320002030021200
532010244323431
61524531335040
7205056444552
oct37002141140
911660233756
104161323616
111845a6002a
12981751480
13514186788
142b69494d2
151954deb96
hexf808c260

4161323616 has 48 divisors (see below), whose sum is σ = 10939457088. Its totient is φ = 1385078400.

The previous prime is 4161323611. The next prime is 4161323641. The reversal of 4161323616 is 6163231614.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×41613236162 = 34633228474158630912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161323611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34971 + ... + 97701.

It is an arithmetic number, because the mean of its divisors is an integer number (227905356).

Almost surely, 24161323616 is an apocalyptic number.

It is an amenable number.

4161323616 is an abundant number, since it is smaller than the sum of its proper divisors (6778133472).

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

4161323616 is a wasteful number, since it uses less digits than its factorization.

4161323616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63435 (or 63427 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 4161323616 is about 64508.3220677767. The cubic root of 4161323616 is about 1608.4608589680.

The spelling of 4161323616 in words is "four billion, one hundred sixty-one million, three hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 691 1382 2073 2764 4146 5528 8292 11056 16584 22112 33168 62731 66336 125462 188193 250924 376386 501848 752772 1003696 1505544 2007392 3011088 6022176 43347121 86694242 130041363 173388484 260082726 346776968 520165452 693553936 1040330904 1387107872 2080661808 4161323616