Search a number
-
+
4164870644 = 2211110385817
BaseRepresentation
bin1111100000111110…
…1110000111110100
3101202020221100110022
43320033232013310
532012201330034
61525135344312
7205131550004
oct37017560764
911666840408
104164870644
111847a62a60
12982982098
13514b290cc
142b71d0004
15195990b2e
hexf83ee1f4

4164870644 has 24 divisors (see below), whose sum is σ = 7958418048. Its totient is φ = 1891384640.

The previous prime is 4164870631. The next prime is 4164870653. The reversal of 4164870644 is 4460784614.

It is a super-3 number, since 3×41648706443 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4164870595 and 4164870604.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5624 + ... + 91440.

It is an arithmetic number, because the mean of its divisors is an integer number (331600752).

Almost surely, 24164870644 is an apocalyptic number.

4164870644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4164870644 is a deficient number, since it is larger than the sum of its proper divisors (3793547404).

4164870644 is a wasteful number, since it uses less digits than its factorization.

4164870644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86935 (or 86933 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The square root of 4164870644 is about 64535.8090055436. The cubic root of 4164870644 is about 1608.9177356722.

The spelling of 4164870644 in words is "four billion, one hundred sixty-four million, eight hundred seventy thousand, six hundred forty-four".

Divisors: 1 2 4 11 22 44 1103 2206 4412 12133 24266 48532 85817 171634 343268 943987 1887974 3775948 94656151 189312302 378624604 1041217661 2082435322 4164870644