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3642321636 = 2232101175601
BaseRepresentation
bin1101100100011001…
…0110101011100100
3100101211200002222100
43121012112223210
524424413243021
61401231332100
7156155136342
oct33106265344
910354602870
103642321636
1115a9aa5178
12857981030
134607aa605
14267a48992
15164b71626
hexd9196ae4

3642321636 has 18 divisors (see below), whose sum is σ = 9206979782. Its totient is φ = 1214107200.

The previous prime is 3642321629. The next prime is 3642321643. The reversal of 3642321636 is 6361232463.

3642321636 is a `hidden beast` number, since 3 + 642 + 3 + 2 + 1 + 6 + 3 + 6 = 666.

3642321636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3642321629) and next prime (3642321643).

It can be written as a sum of positive squares in only one way, i.e., 3443342400 + 198979236 = 58680^2 + 14106^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 101175601 = 3642321636 / (3 + 6 + 4 + 2 + 3 + 2 + 1 + 6 + 3 + 6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3642321636.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50587765 + ... + 50587836.

Almost surely, 23642321636 is an apocalyptic number.

3642321636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3642321636 is an abundant number, since it is smaller than the sum of its proper divisors (5564658146).

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

3642321636 is a wasteful number, since it uses less digits than its factorization.

3642321636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101175611 (or 101175606 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 3642321636 is about 60351.6498200339. The cubic root of 3642321636 is about 1538.6013100122.

The spelling of 3642321636 in words is "three billion, six hundred forty-two million, three hundred twenty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 101175601 202351202 303526803 404702404 607053606 910580409 1214107212 1821160818 3642321636