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13552000000 = 210567112
BaseRepresentation
bin11001001111100001…
…10001110000000000
31021222110110221002221
430213300301300000
5210223303000000
610120430220424
7656555046040
oct144760616000
937873427087
1013552000000
115824829200
122762654714
13137c862616
14927bb9720
15544b3c61a
hex327c31c00

13552000000 has 462 divisors, whose sum is σ = 42538674248. Its totient is φ = 4224000000.

The previous prime is 13551999991. The next prime is 13552000009. The reversal of 13552000000 is 25531.

It is an interprime number because it is at equal distance from previous prime (13551999991) and next prime (13552000009).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13552000009) 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 41 ways as a sum of consecutive naturals, for example, 1231999995 + ... + 1232000005.

Almost surely, 213552000000 is an apocalyptic number.

13552000000 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 13552000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21269337124).

13552000000 is an abundant number, since it is smaller than the sum of its proper divisors (28986674248).

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

13552000000 is an frugal number, since it uses more digits than its factorization.

13552000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

Adding to 13552000000 its reverse (25531), we get a palindrome (13552025531).

The spelling of 13552000000 in words is "thirteen billion, five hundred fifty-two million", and thus it is an aban number.