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55147344915168 = 25321143839482513
BaseRepresentation
bin11001000100111111111011…
…11001110110101011100000
321020021000221021201121202100
430202133331321312223200
524212013230244241133
6313142201314450400
714421156421330362
oct1442377571665340
9236230837647670
1055147344915168
1116631948575210
126227b12293a00
1324a04abc77a7c
14d89207c80d32
15659797cede13
hex3227fde76ae0

55147344915168 has 288 divisors, whose sum is σ = 175269775000320. Its totient is φ = 16303192657920.

The previous prime is 55147344915163. The next prime is 55147344915181. The reversal of 55147344915168 is 86151944374155.

It is a happy number.

55147344915168 is a `hidden beast` number, since 5 + 5 + 1 + 4 + 7 + 34 + 491 + 51 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55147344915161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114050680 + ... + 114533192.

It is an arithmetic number, because the mean of its divisors is an integer number (608575607640).

Almost surely, 255147344915168 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 55147344915168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87634887500160).

55147344915168 is an abundant number, since it is smaller than the sum of its proper divisors (120122430085152).

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

55147344915168 is a wasteful number, since it uses less digits than its factorization.

55147344915168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483422 (or 483411 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 55147344915168 in words is "fifty-five trillion, one hundred forty-seven billion, three hundred forty-four million, nine hundred fifteen thousand, one hundred sixty-eight".