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55873889280 = 210325113911
BaseRepresentation
bin110100000010010101…
…111110010000000000
312100012221120122220200
4310002111332100000
51403412203424110
641400151205200
74015415136246
oct640225762000
9170187518820
1055873889280
1121772399000
12a9b4076800
135365982361
1429c08b2796
1516c03bb6c0
hexd0257e400

55873889280 has 528 divisors, whose sum is σ = 213180933888. Its totient is φ = 13530316800.

The previous prime is 55873889251. The next prime is 55873889293. The reversal of 55873889280 is 8298837855.

55873889280 is a `hidden beast` number, since 558 + 73 + 8 + 8 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61332025 + ... + 61332935.

Almost surely, 255873889280 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 55873889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106590466944).

55873889280 is an abundant number, since it is smaller than the sum of its proper divisors (157307044608).

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

55873889280 is a wasteful number, since it uses less digits than its factorization.

55873889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 55873889280 in words is "fifty-five billion, eight hundred seventy-three million, eight hundred eighty-nine thousand, two hundred eighty".