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55419863040 = 21936529
BaseRepresentation
bin110011100111010010…
…000000000000000000
312022001022020202000000
4303213102000000000
51401444441104130
641243132000000
74001233030503
oct634722000000
9168038222000
1055419863040
112155a082403
12a8a8000000
1352c28a5b89
14297a48713a
1516955d5260
hexce7480000

55419863040 has 560 divisors, whose sum is σ = 206296645500. Its totient is φ = 14269022208.

The previous prime is 55419863033. The next prime is 55419863071. The reversal of 55419863040 is 4036891455.

55419863040 is a `hidden beast` number, since 5 + 5 + 4 + 1 + 9 + 8 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55228760064 + 191102976 = 235008^2 + 13824^2 .

It is a super-2 number, since 2×554198630402 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1911029746 + ... + 1911029774.

Almost surely, 255419863040 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 55419863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103148322750).

55419863040 is an abundant number, since it is smaller than the sum of its proper divisors (150876782460).

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

55419863040 is an frugal number, since it uses more digits than its factorization.

55419863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 55419863040 in words is "fifty-five billion, four hundred nineteen million, eight hundred sixty-three thousand, forty".