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554989805568 = 2133311289233
BaseRepresentation
bin10000001001101111111…
…10000110000000000000
31222001112012020021022000
420010313332012000000
533043104342234233
61102543033344000
755045110340242
oct10046776060000
91861465207260
10554989805568
111a4408305300
128b688b68000
13404488ba173
141cc0c520092
15e6835b8d13
hex8137f86000

554989805568 has 672 divisors, whose sum is σ = 1835538213600. Its totient is φ = 165575393280.

The previous prime is 554989805549. The next prime is 554989805603. The reversal of 554989805568 is 865508989455.

554989805568 is a `hidden beast` number, since 5 + 5 + 498 + 9 + 80 + 5 + 56 + 8 = 666.

It is a super-3 number, since 3×5549898055683 (a number of 36 digits) contains 333 as substring.

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 = 554989805496 and 554989805505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2381930380 + ... + 2381930612.

It is an arithmetic number, because the mean of its divisors is an integer number (2731455675).

Almost surely, 2554989805568 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 554989805568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917769106800).

554989805568 is an abundant number, since it is smaller than the sum of its proper divisors (1280548408032).

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

554989805568 is a wasteful number, since it uses less digits than its factorization.

554989805568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 622080000, while the sum is 72.

The spelling of 554989805568 in words is "five hundred fifty-four billion, nine hundred eighty-nine million, eight hundred five thousand, five hundred sixty-eight".