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3644161164 = 223572194027
BaseRepresentation
bin1101100100110101…
…0111110010001100
3100101222010120100000
43121031113302030
524430401124124
61401335004300
7156206600400
oct33115276214
910358116300
103644161164
111600041246
12858509690
13460ca29a7
14267da7100
15164dd66c9
hexd9357c8c

3644161164 has 216 divisors, whose sum is σ = 11700212160. Its totient is φ = 986144544.

The previous prime is 3644161151. The next prime is 3644161201. The reversal of 3644161164 is 4611614463.

3644161164 is a `hidden beast` number, since 3 + 644 + 1 + 6 + 1 + 1 + 6 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 902919 + ... + 906945.

Almost surely, 23644161164 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 3644161164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850106080).

3644161164 is an abundant number, since it is smaller than the sum of its proper divisors (8056050996).

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

3644161164 is a wasteful number, since it uses less digits than its factorization.

3644161164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4058 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3644161164 is about 60366.8879767708. The cubic root of 3644161164 is about 1538.8602862122.

The spelling of 3644161164 in words is "three billion, six hundred forty-four million, one hundred sixty-one thousand, one hundred sixty-four".