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55342856448 = 2833111747911
BaseRepresentation
bin110011100010101100…
…001111100100000000
312021211221100101211000
4303202230033210000
51401320232401243
641231341252000
73666306342465
oct634254174400
9167757311730
1055342856448
112151a6661a0
12a886264000
1352ac953149
14297015d66c
15168d9735d3
hexce2b0f900

55342856448 has 576 divisors, whose sum is σ = 193272791040. Its totient is φ = 15431270400.

The previous prime is 55342856441. The next prime is 55342856453. The reversal of 55342856448 is 84465824355.

55342856448 is a `hidden beast` number, since 5 + 5 + 34 + 2 + 8 + 564 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55342856394 and 55342856403.

It is not an unprimeable number, because it can be changed into a prime (55342856441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60749113 + ... + 60750023.

It is an arithmetic number, because the mean of its divisors is an integer number (335543040).

Almost surely, 255342856448 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 55342856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636395520).

55342856448 is an abundant number, since it is smaller than the sum of its proper divisors (137929934592).

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

55342856448 is a wasteful number, since it uses less digits than its factorization.

55342856448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 991 counting only the distinct ones).

The product of its digits is 18432000, while the sum is 54.

The spelling of 55342856448 in words is "fifty-five billion, three hundred forty-two million, eight hundred fifty-six thousand, four hundred forty-eight".