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117649000000000 = 295976
BaseRepresentation
bin11010110000000001001010…
…110110100110101000000000
3120102120010122002111201111101
4122300001022312212220000
5110410030123000000000
61054115112055424144
733531600616000000
oct3260011266465000
9512503562451441
10117649000000000
113453972a4402a7
12112411b8085054
13508533a089b11
14210a356000000
15d904c1942e6a
hex6b004ada6a00

117649000000000 has 700 divisors, whose sum is σ = 342807364798866. Its totient is φ = 40336800000000.

The previous prime is 117648999999997. The next prime is 117649000000067. The reversal of 117649000000000 is 946711.

The cubic root of 117649000000000 is 49000.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 110680836086016 + 6968163913984 = 10520496^2 + 2639728^2 .

It is a tau number, because it is divible by the number of its divisors (700).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 117648999999896 and 117648999999905.

It is an unprimeable number.

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 69 ways as a sum of consecutive naturals, for example, 16806999999997 + ... + 16807000000003.

Almost surely, 2117649000000000 is an apocalyptic number.

117649000000000 is a gapful number since it is divisible by the number (10) 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 117649000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171403682399433).

117649000000000 is an abundant number, since it is smaller than the sum of its proper divisors (225158364798866).

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

117649000000000 is an frugal number, since it uses more digits than its factorization.

117649000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 117649000000000 its reverse (946711), we get a palindrome (117649000946711).

The spelling of 117649000000000 in words is "one hundred seventeen trillion, six hundred forty-nine billion", and thus it is an aban number.