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3664149192 = 23321110344917
BaseRepresentation
bin1101101001100110…
…0111101011001000
3100110100202001202100
43122121213223020
530001010233232
61403331233400
7156541516464
oct33231475310
910410661670
103664149192
111610353580
12863148860
13465180822
1426a8cb4a4
15166a33c7c
hexda667ac8

3664149192 has 96 divisors (see below), whose sum is σ = 10931244480. Its totient is φ = 1099543680.

The previous prime is 3664149161. The next prime is 3664149199. The reversal of 3664149192 is 2919414663.

3664149192 is a `hidden beast` number, since 3 + 66 + 414 + 91 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3664149199) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59118 + ... + 104034.

It is an arithmetic number, because the mean of its divisors is an integer number (113867130).

Almost surely, 23664149192 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 3664149192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465622240).

3664149192 is an abundant number, since it is smaller than the sum of its proper divisors (7267095288).

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

3664149192 is a wasteful number, since it uses less digits than its factorization.

3664149192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45043 (or 45036 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3664149192 is about 60532.2161497495. The cubic root of 3664149192 is about 1541.6686797941.

The spelling of 3664149192 in words is "three billion, six hundred sixty-four million, one hundred forty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 103 132 198 206 264 309 396 412 618 792 824 927 1133 1236 1854 2266 2472 3399 3708 4532 6798 7416 9064 10197 13596 20394 27192 40788 44917 81576 89834 134751 179668 269502 359336 404253 494087 539004 808506 988174 1078008 1482261 1617012 1976348 2964522 3234024 3952696 4446783 4626451 5929044 8893566 9252902 11858088 13879353 17787132 18505804 27758706 35574264 37011608 41638059 50890961 55517412 83276118 101781922 111034824 152672883 166552236 203563844 305345766 333104472 407127688 458018649 610691532 916037298 1221383064 1832074596 3664149192