Search a number
-
+
2434052722050 = 23252792866689
BaseRepresentation
bin100011011010111000110…
…110010000110110000010
322121200201022121201211200
4203122320312100312002
5304334414444101200
65102104405122030
7340566044524065
oct43327066206602
98550638551750
102434052722050
11859304340284
1233389b3b9316
131486b7a88591
1485b474168dc
15434ae1db800
hex236b8d90d82

2434052722050 has 108 divisors (see below), whose sum is σ = 6623322115410. Its totient is φ = 640863774720.

The previous prime is 2434052721973. The next prime is 2434052722069. The reversal of 2434052722050 is 502272504342.

2434052722050 is a `hidden beast` number, since 2 + 4 + 3 + 405 + 27 + 220 + 5 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1051648199001 + 1382404523049 = 1025499^2 + 1175757^2 .

It is a super-2 number, since 2×24340527220502 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2434052721996 and 2434052722014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2375106 + ... + 3241794.

Almost surely, 22434052722050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434052722050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311661057705).

2434052722050 is an abundant number, since it is smaller than the sum of its proper divisors (4189269393360).

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

2434052722050 is a wasteful number, since it uses less digits than its factorization.

2434052722050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866865 (or 866778 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 2434052722050 in words is "two trillion, four hundred thirty-four billion, fifty-two million, seven hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 150 158 225 237 395 450 474 711 790 1185 1422 1975 2370 3555 3950 5925 6241 7110 11850 12482 17775 18723 31205 35550 37446 56169 62410 93615 112338 156025 187230 280845 312050 468075 561690 866689 936150 1404225 1733378 2600067 2808450 4333445 5200134 7800201 8666890 13000335 15600402 21667225 26000670 39001005 43334450 65001675 68468431 78002010 130003350 136936862 195005025 205405293 342342155 390010050 410810586 616215879 684684310 1027026465 1232431758 1711710775 2054052930 3081079395 3423421550 5135132325 5409006049 6162158790 10270264650 10818012098 15405396975 16227018147 27045030245 30810793950 32454036294 48681054441 54090060490 81135090735 97362108882 135225151225 162270181470 243405272205 270450302450 405675453675 486810544410 811350907350 1217026361025 2434052722050