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1146364164 = 2238112192
BaseRepresentation
bin100010001010100…
…0010000100000100
32221220002100000000
41010111002010010
54321432123124
6305430321300
740256635401
oct10425020404
92856070000
101146364164
11539102400
1227bab9230
131536651ba
14ac36b2a8
156a9936c9
hex44542104

1146364164 has 243 divisors, whose sum is σ = 3490710951. Its totient is φ = 329099760.

The previous prime is 1146364157. The next prime is 1146364199. The reversal of 1146364164 is 4614636411.

The square root of 1146364164 is 33858.

It is a perfect power (a square), and thus also a powerful number.

1146364164 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 3 + 641 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

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 80 ways as a sum of consecutive naturals, for example, 60334947 + ... + 60334965.

Almost surely, 21146364164 is an apocalyptic number.

1146364164 is the 33858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146364164

1146364164 is an abundant number, since it is smaller than the sum of its proper divisors (2344346787).

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

1146364164 is an equidigital number, since it uses as much as digits as its factorization.

1146364164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

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

The cubic root of 1146364164 is about 1046.5842636431.

Multiplying 1146364164 by its sum of digits (36), we get a square (41269109904 = 2031482).

1146364164 divided by its sum of digits (36) gives a square (31843449 = 56432).

The spelling of 1146364164 in words is "one billion, one hundred forty-six million, three hundred sixty-four thousand, one hundred sixty-four".