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13834436550 = 23521179211503
BaseRepresentation
bin11001110001001100…
…01011111111000110
31022201010221012012220
430320212023333012
5211313103432200
610204435553210
7666554525154
oct147046137706
938633835186
1013834436550
11595a1a6a40
12282115b806
1313c622103c
149534da3d4
1555e82c4a0
hex33898bfc6

13834436550 has 192 divisors, whose sum is σ = 38157557760. Its totient is φ = 3289104000.

The previous prime is 13834436507. The next prime is 13834436587. The reversal of 13834436550 is 5563443831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27503599 + ... + 27504101.

It is an arithmetic number, because the mean of its divisors is an integer number (198737280).

Almost surely, 213834436550 is an apocalyptic number.

13834436550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13834436550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078778880).

13834436550 is an abundant number, since it is smaller than the sum of its proper divisors (24323121210).

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

13834436550 is a wasteful number, since it uses less digits than its factorization.

13834436550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 13834436550 in words is "thirteen billion, eight hundred thirty-four million, four hundred thirty-six thousand, five hundred fifty".