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55911046464 = 263271319311811
BaseRepresentation
bin110100000100100011…
…101101110101000000
312100022112111102222200
4310010203231311000
51404001211441324
641403555433200
74016346024240
oct640443556500
9170275442880
1055911046464
1121791367819
12aa045b5800
135370591c60
1429c57c5b20
1516c37aaec9
hexd048edd40

55911046464 has 672 divisors, whose sum is σ = 214438748160. Its totient is φ = 13511577600.

The previous prime is 55911046459. The next prime is 55911046507. The reversal of 55911046464 is 46464011955.

55911046464 is a `hidden beast` number, since 5 + 591 + 10 + 4 + 6 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30872119 + ... + 30873929.

It is an arithmetic number, because the mean of its divisors is an integer number (319105280).

Almost surely, 255911046464 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 55911046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107219374080).

55911046464 is an abundant number, since it is smaller than the sum of its proper divisors (158527701696).

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

55911046464 is a wasteful number, since it uses less digits than its factorization.

55911046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 55911046464 in words is "fifty-five billion, nine hundred eleven million, forty-six thousand, four hundred sixty-four".