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55832989440 = 283523897103
BaseRepresentation
bin110011111111111001…
…111100111100000000
312100010002121201212210
4303333321330330000
51403321221130230
641352130422120
74014410402604
oct637771747400
9170102551783
1055832989440
11217512a3388
12a9a2431940
13535a362077
1429b92a7504
1516bb9dceb0
hexcffe7cf00

55832989440 has 288 divisors, whose sum is σ = 188186664960. Its totient is φ = 14079459328.

The previous prime is 55832989427. The next prime is 55832989451. The reversal of 55832989440 is 4498923855.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7856929 + ... + 7864031.

It is an arithmetic number, because the mean of its divisors is an integer number (653425920).

Almost surely, 255832989440 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 55832989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94093332480).

55832989440 is an abundant number, since it is smaller than the sum of its proper divisors (132353675520).

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

55832989440 is a wasteful number, since it uses less digits than its factorization.

55832989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7239 (or 7225 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 55832989440 in words is "fifty-five billion, eight hundred thirty-two million, nine hundred eighty-nine thousand, four hundred forty".