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54432734136 = 233111948722283
BaseRepresentation
bin110010101100011100…
…011001101110111000
312012111111210101201020
4302230130121232320
51342434234443021
641001150222440
73634615414614
oct625434315670
9165444711636
1054432734136
11210a294a8a0
12a6714b4a20
135196224331
1428c532a344
151638ae77c6
hexcac719bb8

54432734136 has 128 divisors (see below), whose sum is σ = 156594124800. Its totient is φ = 15593834880.

The previous prime is 54432734093. The next prime is 54432734137. The reversal of 54432734136 is 63143723445.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54432734137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2431651 + ... + 2453933.

It is an arithmetic number, because the mean of its divisors is an integer number (1223391600).

Almost surely, 254432734136 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 54432734136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78297062400).

54432734136 is an abundant number, since it is smaller than the sum of its proper divisors (102161390664).

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

54432734136 is a wasteful number, since it uses less digits than its factorization.

54432734136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22809 (or 22805 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The spelling of 54432734136 in words is "fifty-four billion, four hundred thirty-two million, seven hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 487 627 836 974 1254 1461 1672 1948 2508 2922 3896 5016 5357 5844 9253 10714 11688 16071 18506 21428 22283 27759 32142 37012 42856 44566 55518 64284 66849 74024 89132 101783 111036 128568 133698 178264 203566 222072 245113 267396 305349 407132 423377 490226 534792 610698 735339 814264 846754 980452 1221396 1270131 1470678 1693508 1960904 2442792 2540262 2941356 3387016 4657147 5080524 5882712 9314294 10161048 10851821 13971441 18628588 21703642 27942882 32555463 37257176 43407284 55885764 65110926 86814568 111771528 119370031 130221852 206184599 238740062 260443704 358110093 412369198 477480124 618553797 716220186 824738396 954960248 1237107594 1432440372 1649476792 2268030589 2474215188 2864880744 4536061178 4948430376 6804091767 9072122356 13608183534 18144244712 27216367068 54432734136