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55604989440 = 29325711132411
BaseRepresentation
bin110011110010010100…
…001100111000000000
312022112012121010200100
4303302110030320000
51402334334130230
641313343522400
74005641416560
oct636224147000
9168465533610
1055604989440
1121644626630
12a939bb9400
135322053220
142996cb6da0
1516a69a2660
hexcf250ce00

55604989440 has 960 divisors, whose sum is σ = 258670444032. Its totient is φ = 10661068800.

The previous prime is 55604989439. The next prime is 55604989457. The reversal of 55604989440 is 4498940655.

55604989440 is a `hidden beast` number, since 5 + 5 + 60 + 498 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 23061835 + ... + 23064245.

Almost surely, 255604989440 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 55604989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129335222016).

55604989440 is an abundant number, since it is smaller than the sum of its proper divisors (203065454592).

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

55604989440 is a wasteful number, since it uses less digits than its factorization.

55604989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 55604989440 in words is "fifty-five billion, six hundred four million, nine hundred eighty-nine thousand, four hundred forty".