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55805588558328 = 233719535914233929
BaseRepresentation
bin11001011000001010000000…
…10010000101000111111000
321022120221222102021022100110
430230011000102011013320
524303304321132331303
6314404422232304320
714516551336066260
oct1454050022050770
9238527872238313
1055805588558328
111686602098a994
1263135b68420a0
13251a5a151324b
14dad00d6227a0
1566b9710d7703
hex32c1404851f8

55805588558328 has 512 divisors, whose sum is σ = 174067937280000. Its totient is φ = 14555132227584.

The previous prime is 55805588558323. The next prime is 55805588558329. The reversal of 55805588558328 is 82385588550855.

It is a super-2 number, since 2×558055885583282 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55805588558328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55805588558323) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 14203507468 + ... + 14203511396.

It is an arithmetic number, because the mean of its divisors is an integer number (339976440000).

Almost surely, 255805588558328 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 55805588558328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87033968640000).

55805588558328 is an abundant number, since it is smaller than the sum of its proper divisors (118262348721672).

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

55805588558328 is a wasteful number, since it uses less digits than its factorization.

55805588558328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 3072000000, while the sum is 75.

The spelling of 55805588558328 in words is "fifty-five trillion, eight hundred five billion, five hundred eighty-eight million, five hundred fifty-eight thousand, three hundred twenty-eight".