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55594135440 = 2432577214077
BaseRepresentation
bin110011110001101010…
…110010111110010000
312022111110011200210100
4303301222302332100
51402324044313230
641312315132400
74005450232344
oct636152627620
9168443150710
1055594135440
1121639492888
12a936444100
13531ca22a3c
14299568d624
1516a5a5b660
hexcf1ab2f90

55594135440 has 60 divisors (see below), whose sum is σ = 186703640604. Its totient is φ = 14825102592.

The previous prime is 55594135439. The next prime is 55594135507. The reversal of 55594135440 is 4453149555.

It is a happy number.

55594135440 is a `hidden beast` number, since 5 + 5 + 5 + 94 + 13 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16693673616 + 38900461824 = 129204^2 + 197232^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38606319 + ... + 38607758.

Almost surely, 255594135440 is an apocalyptic number.

It is an amenable number.

55594135440 is an abundant number, since it is smaller than the sum of its proper divisors (131109505164).

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

55594135440 is a wasteful number, since it uses less digits than its factorization.

55594135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77214096 (or 77214087 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 55594135440 in words is "fifty-five billion, five hundred ninety-four million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 77214077 154428154 231642231 308856308 386070385 463284462 617712616 694926693 772140770 926568924 1158211155 1235425232 1389853386 1544281540 1853137848 2316422310 2779706772 3088563080 3474633465 3706275696 4632844620 5559413544 6177126160 6949266930 9265689240 11118827088 13898533860 18531378480 27797067720 55594135440