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55263565440 = 2739541107
BaseRepresentation
bin110011011101111101…
…110001011010000000
312021122102011000000000
4303131331301122000
51401134433043230
641215430000000
73664324361406
oct633575613200
9167572130000
1055263565440
1121489929736
12a8637a6000
1352993b06a5
1429637dd476
151686a0eb60
hexcddf71680

55263565440 has 640 divisors, whose sum is σ = 204898921920. Its totient is φ = 14243143680.

The previous prime is 55263565411. The next prime is 55263565447. The reversal of 55263565440 is 4456536255.

55263565440 is a `hidden beast` number, since 5 + 5 + 2 + 635 + 6 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (55263565447) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 516481867 + ... + 516481973.

Almost surely, 255263565440 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 55263565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102449460960).

55263565440 is an abundant number, since it is smaller than the sum of its proper divisors (149635356480).

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

55263565440 is an frugal number, since it uses more digits than its factorization.

55263565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 55263565440 in words is "fifty-five billion, two hundred sixty-three million, five hundred sixty-five thousand, four hundred forty".