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13556699136 = 21234291409
BaseRepresentation
bin11001010000000101…
…01101000000000000
31021222210022200010000
430220002231000000
5210231003333021
610121115040000
7656643020121
oct145002550000
937883280100
1013556699136
115827448792
122764140000
131380819486
14928680048
15545269b26
hex3280ad000

13556699136 has 260 divisors, whose sum is σ = 41923995300. Its totient is φ = 4359979008.

The previous prime is 13556699083. The next prime is 13556699137. The reversal of 13556699136 is 63199665531.

13556699136 is a `hidden beast` number, since 13 + 556 + 69 + 9 + 13 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2687385600 + 10869313536 = 51840^2 + 104256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13556699137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9620800 + ... + 9622208.

Almost surely, 213556699136 is an apocalyptic number.

13556699136 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 13556699136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961997650).

13556699136 is an abundant number, since it is smaller than the sum of its proper divisors (28367296164).

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

13556699136 is an equidigital number, since it uses as much as digits as its factorization.

13556699136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1443 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 54.

The spelling of 13556699136 in words is "thirteen billion, five hundred fifty-six million, six hundred ninety-nine thousand, one hundred thirty-six".