Search a number
-
+
540535253131544 = 231131667193969939
BaseRepresentation
bin111101011100111010010101…
…1110000000110000100011000
32121212212122222011201000010012
41322321310223300012010120
51031322112144300202134
65153342244530141052
7221566245320541206
oct17271645360060430
92555778864630105
10540535253131544
1114725a7937388a0
125075b42a721788
131a27c34289aa68
14976a08db18076
1542758681306ce
hex1eb9d2bc06118

540535253131544 has 32 divisors (see below), whose sum is σ = 1105675210785600. Its totient is φ = 245690082268320.

The previous prime is 540535253131537. The next prime is 540535253131567. The reversal of 540535253131544 is 445131352535045.

It is a junction number, because it is equal to n+sod(n) for n = 540535253131492 and 540535253131501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94198274 + ... + 99771665.

It is an arithmetic number, because the mean of its divisors is an integer number (34552350337050).

Almost surely, 2540535253131544 is an apocalyptic number.

It is an amenable number.

540535253131544 is an abundant number, since it is smaller than the sum of its proper divisors (565139957654056).

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

540535253131544 is a wasteful number, since it uses less digits than its factorization.

540535253131544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194001623 (or 194001619 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 50.

The spelling of 540535253131544 in words is "five hundred forty trillion, five hundred thirty-five billion, two hundred fifty-three million, one hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 31667 63334 126668 253336 348337 696674 1393348 2786696 193969939 387939878 775879756 1551759512 2133669329 4267338658 8534677316 17069354632 6142446058313 12284892116626 24569784233252 49139568466504 67566906641443 135133813282886 270267626565772 540535253131544