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4663132164 = 2232177619497
BaseRepresentation
bin1000101011111000…
…11100000000000100
3110000222111122202200
410111330130000010
534022230212124
62050415034500
7223361653335
oct42574340004
913028448680
104663132164
111a83242239
12aa180ba30
13594122b02
1432345228c
151c45b3bc9
hex115f1c004

4663132164 has 36 divisors (see below), whose sum is σ = 12480737724. Its totient is φ = 1462943232.

The previous prime is 4663132139. The next prime is 4663132193. The reversal of 4663132164 is 4612313664.

4663132164 is a `hidden beast` number, since 4 + 6 + 631 + 3 + 2 + 16 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3135104064 + 1528028100 = 55992^2 + 39090^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

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, 3809137 + ... + 3810360.

It is an arithmetic number, because the mean of its divisors is an integer number (346687159).

Almost surely, 24663132164 is an apocalyptic number.

It is an amenable number.

4663132164 is an abundant number, since it is smaller than the sum of its proper divisors (7817605560).

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

4663132164 is a wasteful number, since it uses less digits than its factorization.

4663132164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619524 (or 7619519 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4663132164 is about 68287.1302955396. The cubic root of 4663132164 is about 1670.6773118846.

The spelling of 4663132164 in words is "four billion, six hundred sixty-three million, one hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 7619497 15238994 22858491 30477988 45716982 68575473 91433964 129531449 137150946 259062898 274301892 388594347 518125796 777188694 1165783041 1554377388 2331566082 4663132164