Search a number
-
+
540137636051712 = 2839771237581941
BaseRepresentation
bin111101011010000001001011…
…1111011010011101100000000
32121211110122122120000112001220
41322310002113323103230000
51031244103334312123322
65152435445432155040
7221525441102246256
oct17264022773235400
92554418576015056
10540137636051712
111471170a3212706
12506b6361538a80
131a2509b6b4816a
149754b3020a5d6
15426a345a3755c
hex1eb4097ed3b00

540137636051712 has 144 divisors (see below), whose sum is σ = 1440191002018272. Its totient is φ = 179715883991040.

The previous prime is 540137636051711. The next prime is 540137636051729. The reversal of 540137636051712 is 217150636731045.

It is not an unprimeable number, because it can be changed into a prime (540137636051711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927874662 + ... + 928456602.

Almost surely, 2540137636051712 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 540137636051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720095501009136).

540137636051712 is an abundant number, since it is smaller than the sum of its proper divisors (900053365966560).

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

540137636051712 is a wasteful number, since it uses less digits than its factorization.

540137636051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584174 (or 584160 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 540137636051712 in words is "five hundred forty trillion, one hundred thirty-seven billion, six hundred thirty-six million, fifty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 977 1237 1954 2474 2931 3711 3908 4948 5862 7422 7816 9896 11724 14844 15632 19792 23448 29688 31264 39584 46896 59376 62528 79168 93792 118752 125056 158336 187584 237504 250112 316672 375168 475008 581941 750336 950016 1163882 1208549 1745823 2327764 2417098 3491646 3625647 4655528 4834196 6983292 7251294 9311056 9668392 13966584 14502588 18622112 19336784 27933168 29005176 37244224 38673568 55866336 58010352 74488448 77347136 111732672 116020704 148976896 154694272 223465344 232041408 309388544 446930688 464082816 568556357 719861017 928165632 1137112714 1439722034 1705669071 2159583051 2274225428 2879444068 3411338142 4319166102 4548450856 5758888136 6822676284 8638332204 9096901712 11517776272 13645352568 17276664408 18193803424 23035552544 27290705136 34553328816 36387606848 46071105088 54581410272 69106657632 72775213696 92142210176 109162820544 138213315264 145550427392 184284420352 218325641088 276426630528 436651282176 552853261056 703304213609 1406608427218 2109912640827 2813216854436 4219825281654 5626433708872 8439650563308 11252867417744 16879301126616 22505734835488 33758602253232 45011469670976 67517204506464 90022939341952 135034409012928 180045878683904 270068818025856 540137636051712