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13477808896 = 28174017723
BaseRepresentation
bin11001000110101011…
…10000101100000000
31021210021212122001021
430203111300230000
5210100304341041
610105220115224
7654664325326
oct144325605400
937707778037
1013477808896
115796965342
122741835b14
13136a387266
1491bdc5d16
1553d384cd1
hex323570b00

13477808896 has 72 divisors (see below), whose sum is σ = 28560231504. Its totient is φ = 6325862400.

The previous prime is 13477808891. The next prime is 13477808987. The reversal of 13477808896 is 69880877431.

It is not an unprimeable number, because it can be changed into a prime (13477808891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1741291 + ... + 1749013.

It is an arithmetic number, because the mean of its divisors is an integer number (396669882).

Almost surely, 213477808896 is an apocalyptic number.

13477808896 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 13477808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14280115752).

13477808896 is an abundant number, since it is smaller than the sum of its proper divisors (15082422608).

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

13477808896 is an equidigital number, since it uses as much as digits as its factorization.

13477808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 13477808896 in words is "thirteen billion, four hundred seventy-seven million, eight hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 401 544 802 1088 1604 2176 3208 4352 6416 6817 7723 12832 13634 15446 25664 27268 30892 51328 54536 61784 102656 109072 123568 131291 218144 247136 262582 436288 494272 525164 872576 988544 1050328 1745152 1977088 2100656 3096923 4201312 6193846 8402624 12387692 16805248 24775384 33610496 49550768 52647691 99101536 105295382 198203072 210590764 396406144 421181528 792812288 842363056 1684726112 3369452224 6738904448 13477808896