Search a number
-
+
54441011835 = 32572633112113
BaseRepresentation
bin110010101100111011…
…111110101001111011
312012112002100221120200
4302230323332221323
51342443344334320
641002043453243
73635045652060
oct625473765173
9165462327520
1054441011835
11210a7593a71
12a674227223
135197b61c92
1428c6482c67
1516396d0290
hexcacefea7b

54441011835 has 96 divisors (see below), whose sum is σ = 108654594048. Its totient is φ = 24701276160.

The previous prime is 54441011831. The next prime is 54441011843. The reversal of 54441011835 is 53811014445.

54441011835 is a `hidden beast` number, since 544 + 4 + 101 + 1 + 8 + 3 + 5 = 666.

It is not a de Polignac number, because 54441011835 - 22 = 54441011831 is a prime.

It is a super-2 number, since 2×544410118352 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54441011835.

It is not an unprimeable number, because it can be changed into a prime (54441011831) 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, 25763739 + ... + 25765851.

It is an arithmetic number, because the mean of its divisors is an integer number (1131818688).

Almost surely, 254441011835 is an apocalyptic number.

54441011835 is a deficient number, since it is larger than the sum of its proper divisors (54213582213).

54441011835 is a wasteful number, since it uses less digits than its factorization.

54441011835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 54441011835 in words is "fifty-four billion, four hundred forty-one million, eleven thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 263 311 315 789 933 1315 1555 1841 2113 2177 2367 2799 3945 4665 5523 6339 6531 9205 10565 10885 11835 13995 14791 16569 19017 19593 27615 31695 32655 44373 73955 81793 82845 95085 97965 133119 221865 245379 408965 555719 572551 657143 665595 736137 1226895 1667157 1717653 1971429 2778595 2862755 3285715 3680685 3890033 4600001 5001471 5152959 5914287 8335785 8588265 9857145 11670099 13800003 19450165 23000005 25007355 25764795 29571435 35010297 41400009 58350495 69000015 172828609 175051485 207000045 518485827 864143045 1209800263 1555457481 2592429135 3629400789 6049001315 7777287405 10888202367 18147003945 54441011835