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6164041216 = 2923618581
BaseRepresentation
bin1011011110110011…
…11100111000000000
3120220120201201220211
411233121330320000
5100110443304331
62455352443504
7305515325434
oct55731747000
916816651824
106164041216
112683493443
1212403a9594
13773072a88
144269109c4
1526123c8b1
hex16f67ce00

6164041216 has 80 divisors (see below), whose sum is σ = 13063726368. Its totient is φ = 2899353600.

The previous prime is 6164041201. The next prime is 6164041217. The reversal of 6164041216 is 6121404616.

It is a super-2 number, since 2×61640412162 = 75990808225093517312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6164041217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714046 + ... + 722626.

Almost surely, 26164041216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6164041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531863184).

6164041216 is an abundant number, since it is smaller than the sum of its proper divisors (6899685152).

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

6164041216 is an equidigital number, since it uses as much as digits as its factorization.

6164041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8683 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 6164041216 is about 78511.4081901478. The cubic root of 6164041216 is about 1833.5320733385.

The spelling of 6164041216 in words is "six billion, one hundred sixty-four million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 122 128 184 244 256 368 488 512 736 976 1403 1472 1952 2806 2944 3904 5612 5888 7808 8581 11224 11776 15616 17162 22448 31232 34324 44896 68648 89792 137296 179584 197363 274592 359168 394726 523441 549184 718336 789452 1046882 1098368 1578904 2093764 2196736 3157808 4187528 4393472 6315616 8375056 12039143 12631232 16750112 24078286 25262464 33500224 48156572 50524928 67000448 96313144 101049856 134000896 192626288 268001792 385252576 770505152 1541010304 3082020608 6164041216