Search a number
-
+
47115108864 = 293317200483
BaseRepresentation
bin101011111000010001…
…111000001000000000
311111121112101111222000
4223320101320020000
51232442431440424
633351104144000
73255361550265
oct537021701000
9144545344860
1047115108864
1118a882836aa
12916a908000
13459b18c055
1423cd52d26c
15135b48c3c9
hexaf8478200

47115108864 has 160 divisors (see below), whose sum is σ = 147668495040. Its totient is φ = 14781136896.

The previous prime is 47115108809. The next prime is 47115108869. The reversal of 47115108864 is 46880151174.

47115108864 is a `hidden beast` number, since 4 + 71 + 1 + 510 + 8 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (47115108869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134767 + ... + 335249.

It is an arithmetic number, because the mean of its divisors is an integer number (922928094).

Almost surely, 247115108864 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 47115108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73834247520).

47115108864 is an abundant number, since it is smaller than the sum of its proper divisors (100553386176).

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

47115108864 is a wasteful number, since it uses less digits than its factorization.

47115108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200527 (or 200505 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 47115108864 in words is "forty-seven billion, one hundred fifteen million, one hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4608 4896 6528 6912 7344 8704 9792 13056 13824 14688 19584 26112 29376 39168 58752 78336 117504 200483 235008 400966 601449 801932 1202898 1603864 1804347 2405796 3207728 3408211 3608694 4811592 5413041 6415456 6816422 7217388 9623184 10224633 10826082 12830912 13632844 14434776 19246368 20449266 21652164 25661824 27265688 28869552 30673899 38492736 40898532 43304328 51323648 54531376 57739104 61347798 76985472 81797064 86608656 92021697 102647296 109062752 115478208 122695596 153970944 163594128 173217312 184043394 218125504 230956416 245391192 307941888 327188256 346434624 368086788 436251008 461912832 490782384 654376512 692869248 736173576 872502016 923825664 981564768 1308753024 1385738496 1472347152 1745004032 1963129536 2617506048 2771476992 2944694304 3926259072 5235012096 5889388608 7852518144 11778777216 15705036288 23557554432 47115108864