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55854757286208 = 26362367978009
BaseRepresentation
bin11001011001100101100101…
…11101111001000101000000
321022202122220001220111000000
430230302302331321011000
524310111020331124313
6314443153221000000
714523241645301166
oct1454626275710500
9238678801814000
1055854757286208
11168849623a2991
126321039253000
132522108ca107a
14db15557a7236
1566cd9c9c9673
hex32ccb2f79140

55854757286208 has 784 divisors, whose sum is σ = 177829017528960. Its totient is φ = 17359937667072.

The previous prime is 55854757286189. The next prime is 55854757286213. The reversal of 55854757286208 is 80268275745855.

55854757286208 is a `hidden beast` number, since 5 + 5 + 8 + 5 + 47 + 572 + 8 + 6 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6973994908 + ... + 6974002916.

It is an arithmetic number, because the mean of its divisors is an integer number (226822726440).

Almost surely, 255854757286208 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 55854757286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88914508764480).

55854757286208 is an abundant number, since it is smaller than the sum of its proper divisors (121974260242752).

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

55854757286208 is an equidigital number, since it uses as much as digits as its factorization.

55854757286208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8226 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 1505280000, while the sum is 72.

The spelling of 55854757286208 in words is "fifty-five trillion, eight hundred fifty-four billion, seven hundred fifty-seven million, two hundred eighty-six thousand, two hundred eight".