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54026506315656 = 23327232574701761
BaseRepresentation
bin11000100100011000001101…
…01101111010011110001000
321002021212212010011022111200
430102030012231322132020
524040132241104100111
6310523233453424200
714244200122406400
oct1422140655723610
9232255763138450
1054026506315656
111623a57038aa56
12608684779b060
13241b8a6b48a54
14d4ac7ad99800
1563a547b83256
hex312306b7a788

54026506315656 has 144 divisors (see below), whose sum is σ = 170263355724540. Its totient is φ = 15431402004480.

The previous prime is 54026506315651. The next prime is 54026506315679. The reversal of 54026506315656 is 65651360562045.

54026506315656 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 6 + 506 + 31 + 56 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46679858694756 + 7346647620900 = 6832266^2 + 2710470^2 .

It is not an unprimeable number, because it can be changed into a prime (54026506315651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9139816 + ... + 13841576.

Almost surely, 254026506315656 is an apocalyptic number.

54026506315656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54026506315656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85131677862270).

54026506315656 is an abundant number, since it is smaller than the sum of its proper divisors (116236849408884).

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

54026506315656 is a wasteful number, since it uses less digits than its factorization.

54026506315656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705044 (or 4705030 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 54026506315656 in words is "fifty-four trillion, twenty-six billion, five hundred six million, three hundred fifteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3257 3528 6514 9771 13028 19542 22799 26056 29313 39084 45598 58626 68397 78168 91196 117252 136794 159593 182392 205191 234504 273588 319186 410382 478779 547176 638372 820764 957558 1276744 1436337 1641528 1915116 2872674 3830232 4701761 5745348 9403522 11490696 14105283 18807044 28210566 32912327 37614088 42315849 56421132 65824654 84631698 98736981 112842264 131649308 169263396 197473962 230386289 263298616 296210943 338526792 394947924 460772578 592421886 691158867 789895848 921545156 1184843772 1382317734 1843090312 2073476601 2369687544 2764635468 4146953202 5529270936 8293906404 15313635577 16587812808 30627271154 45940906731 61254542308 91881813462 107195449039 122509084616 137822720193 183763626924 214390898078 275645440386 321586347117 367527253848 428781796156 551290880772 643172694234 750368143273 857563592312 964759041351 1102581761544 1286345388468 1500736286546 1929518082702 2251104429819 2572690776936 3001472573092 3859036165404 4502208859638 6002945146184 6753313289457 7718072330808 9004417719276 13506626578914 18008835438552 27013253157828 54026506315656