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552921876362880 = 27375171929181233
BaseRepresentation
bin111110110111000010010100…
…0000001110111011010000000
32200111201211000020121020000000
41331232010220001313122000
51034433033000322103010
65235544445310000000
7224315200354033203
oct17556045001673200
92614654006536000
10552921876362880
111501a593a621782
125201bb697a6000
131a96a40345a83b
149a777c109593a
1543dcb783c27c0
hex1f6e128077680

552921876362880 has 4096 divisors, whose sum is σ = 2308215087360000. Its totient is φ = 125692249374720.

The previous prime is 552921876362857. The next prime is 552921876362893. The reversal of 552921876362880 is 88263678129255.

552921876362880 is a `hidden beast` number, since 5 + 5 + 2 + 9 + 2 + 187 + 6 + 362 + 8 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 552921876362799 and 552921876362808.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2373055263244 + ... + 2373055263476.

Almost surely, 2552921876362880 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 552921876362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154107543680000).

552921876362880 is an abundant number, since it is smaller than the sum of its proper divisors (1755293210997120).

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

552921876362880 is a wasteful number, since it uses less digits than its factorization.

552921876362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 552921876362880 in words is "five hundred fifty-two trillion, nine hundred twenty-one billion, eight hundred seventy-six million, three hundred sixty-two thousand, eight hundred eighty".