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540549061248 = 27371914277417
BaseRepresentation
bin1111101110110110011…
…11000001101010000000
31220200020210102110011210
413313123033001222000
532324021024424443
61052154054210120
754024211131660
oct7673317015200
91820223373153
10540549061248
11199277942369
1288918953940
133bc86ba2441
141c23c6b81a0
15e0da924c33
hex7ddb3c1a80

540549061248 has 256 divisors, whose sum is σ = 1728761932800. Its totient is φ = 146191785984.

The previous prime is 540549061237. The next prime is 540549061249. The reversal of 540549061248 is 842160945045.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 540549061197 and 540549061206.

It is not an unprimeable number, because it can be changed into a prime (540549061249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72876036 + ... + 72883452.

It is an arithmetic number, because the mean of its divisors is an integer number (6752976300).

Almost surely, 2540549061248 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 540549061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864380966400).

540549061248 is an abundant number, since it is smaller than the sum of its proper divisors (1188212871552).

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

540549061248 is a wasteful number, since it uses less digits than its factorization.

540549061248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8887 (or 8875 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 540549061248 in words is "five hundred forty billion, five hundred forty-nine million, sixty-one thousand, two hundred forty-eight".