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4156360164 = 22321127189151
BaseRepresentation
bin1111011110111101…
…0000010111100100
3101201122220222021100
43313233100113210
532003012011124
61524233120100
7204666323055
oct36757202744
911648828240
104156360164
11184317aa00
1297bb59030
13513139518
142b601672c
15194d5e1c9
hexf7bd05e4

4156360164 has 216 divisors, whose sum is σ = 11920970880. Its totient is φ = 1219680000.

The previous prime is 4156360151. The next prime is 4156360171. The reversal of 4156360164 is 4610636514.

It is a happy number.

4156360164 is a `hidden beast` number, since 4 + 1 + 5 + 636 + 0 + 16 + 4 = 666.

It is a super-2 number, since 2×41563601642 = 34550659625772213792, which contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 27525489 + ... + 27525639.

It is an arithmetic number, because the mean of its divisors is an integer number (55189680).

Almost surely, 24156360164 is an apocalyptic number.

4156360164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4156360164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960485440).

4156360164 is an abundant number, since it is smaller than the sum of its proper divisors (7764610716).

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

4156360164 is a wasteful number, since it uses less digits than its factorization.

4156360164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4156360164 is about 64469.8391808138. The cubic root of 4156360164 is about 1607.8211030278.

Adding to 4156360164 its reverse (4610636514), we get a palindrome (8766996678).

The spelling of 4156360164 in words is "four billion, one hundred fifty-six million, three hundred sixty thousand, one hundred sixty-four".