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2664136116 = 223338896343
BaseRepresentation
bin1001111011001011…
…0111110110110100
320212200001010201000
42132302313312310
520424004323431
61120205403300
7123006532455
oct23662676664
96780033630
102664136116
111147920994
12624269530
13335c3a705
141b3b7912c
15108d4d9e6
hex9ecb7db4

2664136116 has 48 divisors (see below), whose sum is σ = 6909884800. Its totient is φ = 887677056.

The previous prime is 2664136093. The next prime is 2664136117. The reversal of 2664136116 is 6116314662.

It is a happy number.

2664136116 is a `hidden beast` number, since 2 + 6 + 641 + 3 + 6 + 1 + 1 + 6 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664136117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416841 + ... + 423183.

Almost surely, 22664136116 is an apocalyptic number.

It is an amenable number.

2664136116 is an abundant number, since it is smaller than the sum of its proper divisors (4245748684).

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

2664136116 is a wasteful number, since it uses less digits than its factorization.

2664136116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245 (or 10237 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2664136116 is about 51615.2701823792. The cubic root of 2664136116 is about 1386.2837634172.

The spelling of 2664136116 in words is "two billion, six hundred sixty-four million, one hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3889 6343 7778 11667 12686 15556 19029 23334 25372 35001 38058 46668 57087 70002 76116 105003 114174 140004 171261 210006 228348 342522 420012 685044 24667927 49335854 74003781 98671708 148007562 222011343 296015124 444022686 666034029 888045372 1332068058 2664136116