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13637681696 = 25312676619
BaseRepresentation
bin11001011001101111…
…01000001000100000
31022012102201000022002
430230313220020200
5210412221303241
610133130503132
7661645244642
oct145467501040
938172630262
1013637681696
115869130121
122787294aa8
131394531b52
14935320892
1554c41489b
hex32cde8220

13637681696 has 72 divisors (see below), whose sum is σ = 28161559440. Its totient is φ = 6499405440.

The previous prime is 13637681597. The next prime is 13637681713. The reversal of 13637681696 is 69618673631.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2057075 + ... + 2063693.

It is an arithmetic number, because the mean of its divisors is an integer number (391132770).

Almost surely, 213637681696 is an apocalyptic number.

13637681696 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 13637681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14080779720).

13637681696 is an abundant number, since it is smaller than the sum of its proper divisors (14523877744).

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

13637681696 is an equidigital number, since it uses as much as digits as its factorization.

13637681696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6719 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 56.

The spelling of 13637681696 in words is "thirteen billion, six hundred thirty-seven million, six hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 67 124 134 248 268 496 536 961 992 1072 1922 2077 2144 3844 4154 6619 7688 8308 13238 15376 16616 26476 30752 33232 52952 64387 66464 105904 128774 205189 211808 257548 410378 443473 515096 820756 886946 1030192 1641512 1773892 2060384 3283024 3547784 6360859 6566048 7095568 12721718 13747663 14191136 25443436 27495326 50886872 54990652 101773744 109981304 203547488 219962608 426177553 439925216 852355106 1704710212 3409420424 6818840848 13637681696