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4661173161 = 332937251641
BaseRepresentation
bin1000101011101001…
…11101101110101001
3110000211211010112000
410111310331232221
534021230020121
62050305041213
7223336214061
oct42564755651
913024733460
104661173161
111a82124427
12aa1026209
135938b8238
143230a23a1
151c4328526
hex115d3dba9

4661173161 has 64 divisors (see below), whose sum is σ = 7377350400. Its totient is φ = 2903040000.

The previous prime is 4661173147. The next prime is 4661173163. The reversal of 4661173161 is 1613711664.

4661173161 is a `hidden beast` number, since 4 + 6 + 611 + 7 + 31 + 6 + 1 = 666.

It is not a de Polignac number, because 4661173161 - 214 = 4661156777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4661173163) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7271401 + ... + 7272041.

It is an arithmetic number, because the mean of its divisors is an integer number (115271100).

Almost surely, 24661173161 is an apocalyptic number.

It is an amenable number.

4661173161 is a deficient number, since it is larger than the sum of its proper divisors (2716177239).

4661173161 is a wasteful number, since it uses less digits than its factorization.

4661173161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 4661173161 is about 68272.7849219585. The cubic root of 4661173161 is about 1670.4433260733.

The spelling of 4661173161 in words is "four billion, six hundred sixty-one million, one hundred seventy-three thousand, one hundred sixty-one".

Divisors: 1 3 9 27 29 37 87 111 251 261 333 641 753 783 999 1073 1923 2259 3219 5769 6777 7279 9287 9657 17307 18589 21837 23717 27861 28971 55767 65511 71151 83583 160891 167301 196533 213453 250749 269323 482673 501903 640359 687793 807969 1448019 2063379 2423907 4344057 4665839 5952967 6190137 7271721 13997517 17858901 18570411 41992551 53576703 125977653 160730109 172636043 517908129 1553724387 4661173161