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55437587712 = 2832132936317
BaseRepresentation
bin110011101000010101…
…100111010100000000
312022002112121020200100
4303220111213110000
51402014010301322
641245003522400
74001536502103
oct635025472400
9168075536610
1055437587712
11215690891a1
12a8b1b29400
1352c6470750
14297c97c73a
151696e36dac
hexce8567500

55437587712 has 216 divisors, whose sum is σ = 172750470984. Its totient is φ = 16996810752.

The previous prime is 55437587567. The next prime is 55437587749. The reversal of 55437587712 is 21778573455.

55437587712 is a `hidden beast` number, since 5 + 5 + 43 + 7 + 587 + 7 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12379677696 + 43057910016 = 111264^2 + 207504^2 .

It is a super-3 number, since 3×554375877123 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8772778 + ... + 8779094.

It is an arithmetic number, because the mean of its divisors is an integer number (799770699).

Almost surely, 255437587712 is an apocalyptic number.

55437587712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55437587712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86375235492).

55437587712 is an abundant number, since it is smaller than the sum of its proper divisors (117312883272).

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

55437587712 is a wasteful number, since it uses less digits than its factorization.

55437587712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6628 counting only the distinct ones).

The product of its digits is 8232000, while the sum is 54.

The spelling of 55437587712 in words is "fifty-five billion, four hundred thirty-seven million, five hundred eighty-seven thousand, seven hundred twelve".