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54084830112 = 253426977569
BaseRepresentation
bin110010010111101101…
…010000001110100000
312011121021011001010000
4302113231100032200
51341231204030422
640502441340000
73623162320305
oct622755201640
9164537131100
1054084830112
1120a34527405
12a594a97600
13513c123171
1428910470ac
1516182c4cac
hexc97b503a0

54084830112 has 120 divisors (see below), whose sum is σ = 159655349700. Its totient is φ = 17961025536.

The previous prime is 54084830101. The next prime is 54084830203. The reversal of 54084830112 is 21103848045.

54084830112 is a `hidden beast` number, since 540 + 84 + 8 + 30 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49834311696 + 4250518416 = 223236^2 + 65196^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 658464 + ... + 736032.

Almost surely, 254084830112 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 54084830112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79827674850).

54084830112 is an abundant number, since it is smaller than the sum of its proper divisors (105570519588).

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

54084830112 is a wasteful number, since it uses less digits than its factorization.

54084830112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77860 (or 77843 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 54084830112 in words is "fifty-four billion, eighty-four million, eight hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 269 288 324 432 538 648 807 864 1076 1296 1614 2152 2421 2592 3228 4304 4842 6456 7263 8608 9684 12912 14526 19368 21789 25824 29052 38736 43578 58104 77472 77569 87156 116208 155138 174312 232416 232707 310276 348624 465414 620552 697248 698121 930828 1241104 1396242 1861656 2094363 2482208 2792484 3723312 4188726 5584968 6283089 7446624 8377452 11169936 12566178 16754904 20866061 22339872 25132356 33509808 41732122 50264712 62598183 67019616 83464244 100529424 125196366 166928488 187794549 201058848 250392732 333856976 375589098 500785464 563383647 667713952 751178196 1001570928 1126767294 1502356392 1690150941 2003141856 2253534588 3004712784 3380301882 4507069176 6009425568 6760603764 9014138352 13521207528 18028276704 27042415056 54084830112