Search a number
-
+
5202518991264 = 253274162941819
BaseRepresentation
bin100101110110100111001…
…0010111110000110100000
3200102100121111022211022100
41023231032102332012200
51140214224330210024
615022000525210400
71044604161533040
oct113551622760640
920370544284270
105202518991264
111726415383121
12700349100a00
132b9798231aca
1413db3621d720
15904e1dc37c9
hex4bb4e4be1a0

5202518991264 has 144 divisors (see below), whose sum is σ = 17320581794880. Its totient is φ = 1450179486720.

The previous prime is 5202518991259. The next prime is 5202518991269. The reversal of 5202518991264 is 4621998152025.

5202518991264 is a `hidden beast` number, since 5 + 20 + 2 + 518 + 99 + 12 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5202518991259) and next prime (5202518991269).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5202518991264.

It is not an unprimeable number, because it can be changed into a prime (5202518991269) 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, 31388254 + ... + 31553565.

It is an arithmetic number, because the mean of its divisors is an integer number (120281818020).

Almost surely, 25202518991264 is an apocalyptic number.

It is an amenable number.

5202518991264 is an abundant number, since it is smaller than the sum of its proper divisors (12118062803616).

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

5202518991264 is a wasteful number, since it uses less digits than its factorization.

5202518991264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62941883 (or 62941872 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 5202518991264 in words is "five trillion, two hundred two billion, five hundred eighteen million, nine hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 9184 10332 11808 13776 20664 27552 41328 82656 62941819 125883638 188825457 251767276 377650914 440592733 503534552 566476371 755301828 881185466 1007069104 1132952742 1321778199 1510603656 1762370932 2014138208 2265905484 2580614579 2643556398 3021207312 3524741864 3965334597 4531810968 5161229158 5287112796 6042414624 7049483728 7741843737 7930669194 9063621936 10322458316 10574225592 14098967456 15483687474 15861338388 18064302053 18127243872 20644916632 21148451184 23225531211 30967374948 31722676776 36128604106 41289833264 42296902368 46451062422 54192906159 61934749896 63445353552 72257208212 82579666528 92902124844 108385812318 123869499792 126890707104 144514416424 162578718477 185804249688 216771624636 247738999584 289028832848 325157436954 371608499376 433543249272 578057665696 650314873908 743216998752 867086498544 1300629747816 1734172997088 2601259495632 5202518991264