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55047029760 = 2103452329199
BaseRepresentation
bin110011010001000011…
…110000010000000000
312021002022200211220000
4303101003300100000
51400214014423020
641142132520000
73656055014142
oct632103602000
9167068624800
1055047029760
1121388682228
12a803180000
135263586a78
142942b54c92
1516729db090
hexcd10f0400

55047029760 has 880 divisors, whose sum is σ = 214001568000. Its totient is φ = 13488685056.

The previous prime is 55047029749. The next prime is 55047029761. The reversal of 55047029760 is 6792074055.

55047029760 is a `hidden beast` number, since 5 + 504 + 70 + 2 + 9 + 76 + 0 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55047029761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 276618141 + ... + 276618339.

It is an arithmetic number, because the mean of its divisors is an integer number (243183600).

Almost surely, 255047029760 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 55047029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107000784000).

55047029760 is an abundant number, since it is smaller than the sum of its proper divisors (158954538240).

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

55047029760 is a wasteful number, since it uses less digits than its factorization.

55047029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 55047029760 in words is "fifty-five billion, forty-seven million, twenty-nine thousand, seven hundred sixty".