Search a number
-
+
541161131436 = 22335010751217
BaseRepresentation
bin1111101111111111011…
…01111000110110101100
31220201211110010211122000
413313333231320312230
532331244222201221
61052334521052300
754045322502112
oct7677755706654
91821743124560
10541161131436
111995613947a2
1288a69927090
133c053935c53
141c299ac3ab2
15e124528e26
hex7dffb78dac

541161131436 has 24 divisors (see below), whose sum is σ = 1403010341040. Its totient is φ = 180387043776.

The previous prime is 541161131431. The next prime is 541161131477. The reversal of 541161131436 is 634131161145.

541161131436 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 611 + 3 + 1 + 4 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 541161131436.

It is not an unprimeable number, because it can be changed into a prime (541161131431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2505375501 + ... + 2505375716.

It is an arithmetic number, because the mean of its divisors is an integer number (58458764210).

Almost surely, 2541161131436 is an apocalyptic number.

It is an amenable number.

541161131436 is an abundant number, since it is smaller than the sum of its proper divisors (861849209604).

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

541161131436 is a wasteful number, since it uses less digits than its factorization.

541161131436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010751230 (or 5010751222 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 541161131436 in words is "five hundred forty-one billion, one hundred sixty-one million, one hundred thirty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 5010751217 10021502434 15032253651 20043004868 30064507302 45096760953 60129014604 90193521906 135290282859 180387043812 270580565718 541161131436