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54646703712 = 25324134713337
BaseRepresentation
bin110010111001001100…
…101000011001100000
312020001102102011210100
4302321030220121200
51343404024004322
641034312302400
73643124213616
oct627114503140
9166042364710
1054646703712
11211a2704357
12a7110a1a00
1351cb65cc53
1429059076b6
15164c7b0dac
hexcb9328660

54646703712 has 144 divisors (see below), whose sum is σ = 159662582352. Its totient is φ = 17718743040.

The previous prime is 54646703659. The next prime is 54646703717. The reversal of 54646703712 is 21730764645.

54646703712 is a `hidden beast` number, since 546 + 4 + 6 + 70 + 37 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×546467037122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54646703717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4090708 + ... + 4104044.

It is an arithmetic number, because the mean of its divisors is an integer number (1108767933).

Almost surely, 254646703712 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 54646703712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79831291176).

54646703712 is an abundant number, since it is smaller than the sum of its proper divisors (105015878640).

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

54646703712 is a wasteful number, since it uses less digits than its factorization.

54646703712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13741 (or 13730 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 54646703712 in words is "fifty-four billion, six hundred forty-six million, seven hundred three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 347 369 492 656 694 738 984 1041 1312 1388 1476 1968 2082 2776 2952 3123 3936 4164 5552 5904 6246 8328 11104 11808 12492 13337 14227 16656 24984 26674 28454 33312 40011 42681 49968 53348 56908 80022 85362 99936 106696 113816 120033 128043 160044 170724 213392 227632 240066 256086 320088 341448 426784 455264 480132 512172 546817 640176 682896 960264 1024344 1093634 1280352 1365792 1640451 1920528 2048688 2187268 3280902 3841056 4097376 4374536 4627939 4921353 6561804 8749072 9255878 9842706 13123608 13883817 17498144 18511756 19685412 26247216 27767634 37023512 39370824 41651451 52494432 55535268 74047024 78741648 83302902 111070536 148094048 157483296 166605804 189745499 222141072 333211608 379490998 444282144 569236497 666423216 758981996 1138472994 1332846432 1517963992 1707709491 2276945988 3035927984 3415418982 4553891976 6071855968 6830837964 9107783952 13661675928 18215567904 27323351856 54646703712