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4163463540 = 22325171923769
BaseRepresentation
bin1111100000101001…
…0110100101110100
3101202011021212021100
43320022112211310
532011321313130
61525045250100
7205113566445
oct37012264564
911664255240
104163463540
111847191865
12982403930
135147557c2
142b6d452cc
151957b3c60
hexf8296974

4163463540 has 216 divisors, whose sum is σ = 14116644360. Its totient is φ = 989687808.

The previous prime is 4163463539. The next prime is 4163463547. The reversal of 4163463540 is 453643614.

4163463540 is a `hidden beast` number, since 4 + 16 + 3 + 4 + 635 + 4 + 0 = 666.

4163463540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1520064144 + 2643399396 = 38988^2 + 51414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4163463495 and 4163463504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4163463547) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1102776 + ... + 1106544.

It is an arithmetic number, because the mean of its divisors is an integer number (65354835).

Almost surely, 24163463540 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 4163463540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058322180).

4163463540 is an abundant number, since it is smaller than the sum of its proper divisors (9953180820).

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

4163463540 is a wasteful number, since it uses less digits than its factorization.

4163463540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4163463540 is about 64524.9063540584. The cubic root of 4163463540 is about 1608.7365239950.

The spelling of 4163463540 in words is "four billion, one hundred sixty-three million, four hundred sixty-three thousand, five hundred forty".