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13556233152 = 2632711537379
BaseRepresentation
bin11001010000000001…
…11011001111000000
31021222202102222220100
430220000323033000
5210230343430102
610121101042400
7656636036430
oct145000731700
937882388810
1013556233152
11582715a680
122763b56400
1313806b5347
1492859c2c0
155451c6a1c
hex32803b3c0

13556233152 has 672 divisors, whose sum is σ = 50668001280. Its totient is φ = 3364208640.

The previous prime is 13556233091. The next prime is 13556233217. The reversal of 13556233152 is 25133265531.

13556233152 is a `hidden beast` number, since 1 + 3 + 556 + 23 + 31 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 171597849 + ... + 171597927.

Almost surely, 213556233152 is an apocalyptic number.

13556233152 is a gapful number since it is divisible by the number (12) 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 13556233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25334000640).

13556233152 is an abundant number, since it is smaller than the sum of its proper divisors (37111768128).

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

13556233152 is a wasteful number, since it uses less digits than its factorization.

13556233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

Adding to 13556233152 its reverse (25133265531), we get a palindrome (38689498683).

The spelling of 13556233152 in words is "thirteen billion, five hundred fifty-six million, two hundred thirty-three thousand, one hundred fifty-two".