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55034203139136 = 26341317233189757
BaseRepresentation
bin11001000001101101001100…
…01000001110110001000000
321012212012220020111212220000
430200312212020032301000
524203140022000423021
6313014210333520000
714410042600156134
oct1440664610166100
9235765806455800
1055034203139136
1116598968a2a291
126209bb7343000
13249291a8b6ac0
14d8395370b3c4
15656874ea9b26
hex320da620ec40

55034203139136 has 2240 divisors, whose sum is σ = 202890899312640. Its totient is φ = 14567779860480.

The previous prime is 55034203139129. The next prime is 55034203139173. The reversal of 55034203139136 is 63193130243055.

55034203139136 is a `hidden beast` number, since 5 + 50 + 3 + 4 + 203 + 1 + 391 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55034203139091 and 55034203139100.

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 319 ways as a sum of consecutive naturals, for example, 72700400070 + ... + 72700400826.

It is an arithmetic number, because the mean of its divisors is an integer number (90576294336).

Almost surely, 255034203139136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55034203139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101445449656320).

55034203139136 is an abundant number, since it is smaller than the sum of its proper divisors (147856696173504).

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

55034203139136 is a wasteful number, since it uses less digits than its factorization.

55034203139136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 55034203139136 in words is "fifty-five trillion, thirty-four billion, two hundred three million, one hundred thirty-nine thousand, one hundred thirty-six".