Search a number
-
+
51452202205344 = 2531395037665667
BaseRepresentation
bin10111011001011101001100…
…01111000100000010100000
320202011210010102210212001110
423230232212033010002200
523220443102231032334
6301232452042303320
713560204351456513
oct1354564617040240
9222153112725043
1051452202205344
1115437835874946
12592b9464b7b40
132292bca3c0c45
14c9c42abd6d7a
155e35cab69ae9
hex2ecba63c40a0

51452202205344 has 96 divisors (see below), whose sum is σ = 136304162588160. Its totient is φ = 16993493690112.

The previous prime is 51452202205267. The next prime is 51452202205363. The reversal of 51452202205344 is 44350220225415.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×514522022053442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2879199 + ... + 10544865.

It is an arithmetic number, because the mean of its divisors is an integer number (1419835026960).

Almost surely, 251452202205344 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 51452202205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68152081294080).

51452202205344 is an abundant number, since it is smaller than the sum of its proper divisors (84851960382816).

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

51452202205344 is a wasteful number, since it uses less digits than its factorization.

51452202205344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7666322 (or 7666314 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 51452202205344 in words is "fifty-one trillion, four hundred fifty-two billion, two hundred two million, two hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 503 556 834 1006 1112 1509 1668 2012 2224 3018 3336 4024 4448 6036 6672 8048 12072 13344 16096 24144 48288 69917 139834 209751 279668 419502 559336 839004 1118672 1678008 2237344 3356016 6712032 7665667 15331334 22997001 30662668 45994002 61325336 91988004 122650672 183976008 245301344 367952016 735904032 1065527713 2131055426 3196583139 3855830501 4262110852 6393166278 7711661002 8524221704 11567491503 12786332556 15423322004 17048443408 23134983006 25572665112 30846644008 34096886816 46269966012 51145330224 61693288016 92539932024 102290660448 123386576032 185079864048 370159728096 535960439639 1071920879278 1607881318917 2143841758556 3215762637834 4287683517112 6431525275668 8575367034224 12863050551336 17150734068448 25726101102672 51452202205344