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55469654416 = 24112172989653
BaseRepresentation
bin110011101010001111…
…111100000110010000
312022011202221101221001
4303222033330012100
51402100212420131
641252111111344
74002406166041
oct635217740620
9168152841831
1055469654416
11215851a0400
12a900812554
1352cccba327
142982d288c8
151699b6d261
hexcea3fc190

55469654416 has 240 divisors, whose sum is σ = 131047081200. Its totient is φ = 22619914240.

The previous prime is 55469654407. The next prime is 55469654419. The reversal of 55469654416 is 61445696455.

It is a happy number.

55469654416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1189974016 + 54279680400 = 34496^2 + 232980^2 .

It is a super-2 number, since 2×554696544162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55469654419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84945546 + ... + 84946198.

It is an arithmetic number, because the mean of its divisors is an integer number (546029505).

Almost surely, 255469654416 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 55469654416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65523540600).

55469654416 is an abundant number, since it is smaller than the sum of its proper divisors (75577426784).

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

55469654416 is a wasteful number, since it uses less digits than its factorization.

55469654416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 801 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 55.

The spelling of 55469654416 in words is "fifty-five billion, four hundred sixty-nine million, six hundred fifty-four thousand, four hundred sixteen".