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4113326416 = 241923791879
BaseRepresentation
bin1111010100101100…
…0110000101010000
3101121122221122001211
43311023012011100
531411002421131
61520054505504
7203634461203
oct36513060520
911548848054
104113326416
111820958021
12969665294
1350724cb74
142b041393a
151911ad5b1
hexf52c6150

4113326416 has 60 divisors (see below), whose sum is σ = 8437778400. Its totient is φ = 1942242624.

The previous prime is 4113326387. The next prime is 4113326431. The reversal of 4113326416 is 6146233114.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2188165 + ... + 2190043.

It is an arithmetic number, because the mean of its divisors is an integer number (140629640).

Almost surely, 24113326416 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 4113326416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218889200).

4113326416 is an abundant number, since it is smaller than the sum of its proper divisors (4324451984).

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

4113326416 is a wasteful number, since it uses less digits than its factorization.

4113326416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2279 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 4113326416 is about 64135.2197782155. The cubic root of 4113326416 is about 1602.2528701213.

The spelling of 4113326416 in words is "four billion, one hundred thirteen million, three hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 379 722 758 1444 1516 1879 2888 3032 3758 5776 6064 7201 7516 14402 15032 28804 30064 35701 57608 71402 115216 136819 142804 273638 285608 547276 571216 678319 712141 1094552 1356638 1424282 2189104 2713276 2848564 5426552 5697128 10853104 11394256 13530679 27061358 54122716 108245432 216490864 257082901 514165802 1028331604 2056663208 4113326416