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1012636116 = 223259476759
BaseRepresentation
bin111100010110111…
…001100111010100
32121120110020121100
4330112321213110
54033213323431
6244252150100
734044156612
oct7426714724
92546406540
101012636116
1147a674558
12243168330
13131a4288b
14986ba6b2
155dd7a4e6
hex3c5b99d4

1012636116 has 36 divisors (see below), whose sum is σ = 2603109600. Its totient is φ = 331823568.

The previous prime is 1012636061. The next prime is 1012636117. The reversal of 1012636116 is 6116362101.

1012636116 is a `hidden beast` number, since 1 + 0 + 12 + 636 + 1 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1012636116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012636117) 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 11 ways as a sum of consecutive naturals, for example, 236256 + ... + 240503.

It is an arithmetic number, because the mean of its divisors is an integer number (72308600).

Almost surely, 21012636116 is an apocalyptic number.

It is an amenable number.

1012636116 is an abundant number, since it is smaller than the sum of its proper divisors (1590473484).

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

1012636116 is a wasteful number, since it uses less digits than its factorization.

1012636116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476828 (or 476823 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1012636116 is about 31821.9439381066. The cubic root of 1012636116 is about 1004.1944209022.

Adding to 1012636116 its reverse (6116362101), we get a palindrome (7128998217).

The spelling of 1012636116 in words is "one billion, twelve million, six hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 476759 953518 1430277 1907036 2860554 4290831 5721108 8581662 17163324 28128781 56257562 84386343 112515124 168772686 253159029 337545372 506318058 1012636116