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13630033332 = 22321133350549
BaseRepresentation
bin11001011000110100…
…11100110110110100
31022011220022102201100
430230122130312310
5210403242031312
610132254530100
7661523241336
oct145432346664
938156272640
1013630033332
115864886863
122784806930
131392a847a6
149342cd456
1554b9035dc
hex32c69cdb4

13630033332 has 36 divisors (see below), whose sum is σ = 34758605700. Its totient is φ = 4503136512.

The previous prime is 13630033331. The next prime is 13630033337. The reversal of 13630033332 is 23333003631.

It can be written as a sum of positive squares in 2 ways, for example, as 2171187216 + 11458846116 = 46596^2 + 107046^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13630033296 and 13630033305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630033331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1671207 + ... + 1679342.

It is an arithmetic number, because the mean of its divisors is an integer number (965516825).

Almost surely, 213630033332 is an apocalyptic number.

13630033332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13630033332 is an abundant number, since it is smaller than the sum of its proper divisors (21128572368).

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

13630033332 is a wasteful number, since it uses less digits than its factorization.

13630033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350672 (or 3350667 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13630033332 its reverse (23333003631), we get a palindrome (36963036963).

The spelling of 13630033332 in words is "thirteen billion, six hundred thirty million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 3350549 6701098 10051647 13402196 20103294 30154941 40206588 60309882 120619764 378612037 757224074 1135836111 1514448148 2271672222 3407508333 4543344444 6815016666 13630033332