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13748386816 = 210292331987
BaseRepresentation
bin11001100110111011…
…11011110000000000
31022111011000102011201
430303131323300000
5211124041334231
610152123350544
7664461234253
oct146335736000
938434012151
1013748386816
11591567355a
1227b8382454
1313b1453138
14945cdb09a
15556ed1161
hex33377bc00

13748386816 has 88 divisors (see below), whose sum is σ = 28567440720. Its totient is φ = 6605340672.

The previous prime is 13748386811. The next prime is 13748386889. The reversal of 13748386816 is 61868384731.

13748386816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13748386811) 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 7 ways as a sum of consecutive naturals, for example, 6918175 + ... + 6920161.

Almost surely, 213748386816 is an apocalyptic number.

13748386816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13748386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283720360).

13748386816 is an abundant number, since it is smaller than the sum of its proper divisors (14819053904).

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

13748386816 is a wasteful number, since it uses less digits than its factorization.

13748386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2251 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 55.

The spelling of 13748386816 in words is "thirteen billion, seven hundred forty-eight million, three hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 233 256 464 466 512 928 932 1024 1856 1864 1987 3712 3728 3974 6757 7424 7456 7948 13514 14848 14912 15896 27028 29696 29824 31792 54056 57623 59648 63584 108112 115246 119296 127168 216224 230492 238592 254336 432448 460984 462971 508672 864896 921968 925942 1017344 1729792 1843936 1851884 2034688 3459584 3687872 3703768 6919168 7375744 7407536 13426159 14751488 14815072 26852318 29502976 29630144 53704636 59005952 59260288 107409272 118520576 214818544 237041152 429637088 474082304 859274176 1718548352 3437096704 6874193408 13748386816