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13738898208 = 2537109718637
BaseRepresentation
bin11001100101110011…
…01111001100100000
31022110111011100020210
430302321233030200
5211114124220313
610151144134120
7664314464550
oct146271571440
938414140223
1013738898208
115910282632
1227b5167340
1313ac4b0289
1494494b160
155562599c3
hex332e6f320

13738898208 has 96 divisors (see below), whose sum is σ = 41256480384. Its totient is φ = 3921610752.

The previous prime is 13738898203. The next prime is 13738898213. The reversal of 13738898208 is 80289883731.

It is a happy number.

13738898208 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 (13738898203) and next prime (13738898213).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×137388982082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13738898203) 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 15 ways as a sum of consecutive naturals, for example, 727866 + ... + 746502.

It is an arithmetic number, because the mean of its divisors is an integer number (429755004).

Almost surely, 213738898208 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 13738898208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20628240192).

13738898208 is an abundant number, since it is smaller than the sum of its proper divisors (27517582176).

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

13738898208 is a wasteful number, since it uses less digits than its factorization.

13738898208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19754 (or 19746 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 13738898208 in words is "thirteen billion, seven hundred thirty-eight million, eight hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1097 2194 3291 4388 6582 7679 8776 13164 15358 17552 18637 23037 26328 30716 35104 37274 46074 52656 55911 61432 74548 92148 105312 111822 122864 130459 149096 184296 223644 245728 260918 298192 368592 391377 447288 521836 596384 737184 782754 894576 1043672 1565508 1789152 2087344 3131016 4174688 6262032 12524064 20444789 40889578 61334367 81779156 122668734 143113523 163558312 245337468 286227046 327116624 429340569 490674936 572454092 654233248 858681138 981349872 1144908184 1717362276 1962699744 2289816368 3434724552 4579632736 6869449104 13738898208