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13360099968 = 273211597309
BaseRepresentation
bin11000111000101001…
…01111001010000000
31021111002101101202100
430130110233022000
5204330141144333
610045413150400
7652034655525
oct143424571200
937432341670
1013360099968
115736478936
12270a32b400
13134bb830c7
1490a50514c
15532d83213
hex31c52f280

13360099968 has 48 divisors (see below), whose sum is σ = 38445082650. Its totient is φ = 4453366272.

The previous prime is 13360099943. The next prime is 13360099993. The reversal of 13360099968 is 86999006331.

It is an interprime number because it is at equal distance from previous prime (13360099943) and next prime (13360099993).

It can be written as a sum of positive squares in only one way, i.e., 7189683264 + 6170416704 = 84792^2 + 78552^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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, 5797503 + ... + 5799806.

Almost surely, 213360099968 is an apocalyptic number.

13360099968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13360099968 is an abundant number, since it is smaller than the sum of its proper divisors (25084982682).

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

13360099968 is a wasteful number, since it uses less digits than its factorization.

13360099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11597329 (or 11597314 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 13360099968 in words is "thirteen billion, three hundred sixty million, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11597309 23194618 34791927 46389236 69583854 92778472 104375781 139167708 185556944 208751562 278335416 371113888 417503124 556670832 742227776 835006248 1113341664 1484455552 1670012496 2226683328 3340024992 4453366656 6680049984 13360099968