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54390206640 = 243571121715739
BaseRepresentation
bin110010101001111010…
…001011000010110000
312012101112202202221210
4302221322023002300
51342342343103030
640553030520120
73633561062010
oct625172130260
9165345682853
1054390206640
1121080943300
12a65b206040
13518a484233
1428bd819c40
151634ee6bb0
hexca9e8b0b0

54390206640 has 480 divisors, whose sum is σ = 224280645120. Its totient is φ = 10636369920.

The previous prime is 54390206617. The next prime is 54390206641. The reversal of 54390206640 is 4660209345.

It is a super-3 number, since 3×543902066403 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54390206641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3447891 + ... + 3463629.

It is an arithmetic number, because the mean of its divisors is an integer number (467251344).

Almost surely, 254390206640 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 54390206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112140322560).

54390206640 is an abundant number, since it is smaller than the sum of its proper divisors (169890438480).

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

54390206640 is a wasteful number, since it uses less digits than its factorization.

54390206640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15801 (or 15784 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 54390206640 in words is "fifty-four billion, three hundred ninety million, two hundred six thousand, six hundred forty".