Search a number
-
+
55334240881920 = 28375731113231
BaseRepresentation
bin11001001010011100000011…
…10001011000110100000000
321020220220100101110110000000
430211032001301120310000
524223044011131210140
6313404111020000000
714440524033666000
oct1445160161306400
9236826311413000
1055334240881920
11166a4135465270
126258191390000
1324b4cc549ba00
14d94297876000
1565e585b21a30
hex325381c58d00

55334240881920 has 6912 divisors, whose sum is σ = 282675585024000. Its totient is φ = 10271187763200.

The previous prime is 55334240881879. The next prime is 55334240881937. The reversal of 55334240881920 is 2918804243355.

55334240881920 is a `hidden beast` number, since 5 + 5 + 3 + 3 + 42 + 408 + 8 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

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 767 ways as a sum of consecutive naturals, for example, 1784975512305 + ... + 1784975512335.

It is an arithmetic number, because the mean of its divisors is an integer number (40896352000).

Almost surely, 255334240881920 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 55334240881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141337792512000).

55334240881920 is an abundant number, since it is smaller than the sum of its proper divisors (227341344142080).

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

55334240881920 is an equidigital number, since it uses as much as digits as its factorization.

55334240881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 55334240881920 in words is "fifty-five trillion, three hundred thirty-four billion, two hundred forty million, eight hundred eighty-one thousand, nine hundred twenty".