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6542540540 = 2253726333617
BaseRepresentation
bin1100001011111011…
…10011111011111100
3121212221221111101022
412011331303323330
5101344342244130
63001113203312
7321062451134
oct60575637374
917787844338
106542540540
1128581035a8
121327100538
138035c6b83
14460cb9ac4
152845a57e5
hex185f73efc

6542540540 has 48 divisors (see below), whose sum is σ = 14164742592. Its totient is φ = 2536528896.

The previous prime is 6542540497. The next prime is 6542540567. The reversal of 6542540540 is 450452456.

It is a self number, because there is not a number n which added to its sum of digits gives 6542540540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177812 + ... + 211428.

It is an arithmetic number, because the mean of its divisors is an integer number (295098804).

Almost surely, 26542540540 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 6542540540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082371296).

6542540540 is an abundant number, since it is smaller than the sum of its proper divisors (7622202052).

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

6542540540 is a wasteful number, since it uses less digits than its factorization.

6542540540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33926 (or 33924 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The square root of 6542540540 is about 80885.9724550555. The cubic root of 6542540540 is about 1870.3180886257.

Adding to 6542540540 its reverse (450452456), we get a palindrome (6992992996).

The spelling of 6542540540 in words is "six billion, five hundred forty-two million, five hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 263 370 526 740 1052 1315 2630 5260 9731 19462 33617 38924 48655 67234 97310 134468 168085 194620 336170 672340 1243829 2487658 4975316 6219145 8841271 12438290 17682542 24876580 35365084 44206355 88412710 176825420 327127027 654254054 1308508108 1635635135 3271270270 6542540540