Search a number
-
+
20154311298 = 2341147331727
BaseRepresentation
bin10010110001010010…
…100110001010000010
31221000120220002120000
4102301102212022002
5312234000430143
613131520500430
71312304551032
oct226122461202
957016802500
1020154311298
118602646420
123aa577a716
131b92655cb4
14d929b38c2
157ce59cbd3
hex4b14a6282

20154311298 has 160 divisors (see below), whose sum is σ = 50535733248. Its totient is φ = 5951167200.

The previous prime is 20154311227. The next prime is 20154311299. The reversal of 20154311298 is 89211345102.

20154311298 is a `hidden beast` number, since 2 + 0 + 1 + 54 + 311 + 298 = 666.

It is not an unprimeable number, because it can be changed into a prime (20154311299) 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 79 ways as a sum of consecutive naturals, for example, 27722211 + ... + 27722937.

Almost surely, 220154311298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20154311298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25267866624).

20154311298 is an abundant number, since it is smaller than the sum of its proper divisors (30381421950).

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

20154311298 is a wasteful number, since it uses less digits than its factorization.

20154311298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 20154311298 in words is "twenty billion, one hundred fifty-four million, three hundred eleven thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 81 94 99 141 162 198 282 297 331 423 517 594 662 727 846 891 993 1034 1269 1454 1551 1782 1986 2181 2538 2979 3102 3641 3807 4362 4653 5958 6543 7282 7614 7997 8937 9306 10923 13086 13959 15557 15994 17874 19629 21846 23991 26811 27918 31114 32769 34169 39258 41877 46671 47982 53622 58887 65538 68338 71973 83754 93342 98307 102507 117774 140013 143946 171127 196614 205014 215919 240637 280026 294921 307521 342254 375859 420039 431838 481274 513381 589842 615042 647757 721911 751718 840078 922563 1026762 1127577 1260117 1295514 1443822 1540143 1845126 2165733 2255154 2520234 2647007 2767689 3080286 3382731 4331466 4620429 5294014 5535378 6497199 6765462 7941021 9240858 10148193 11309939 12994398 13861287 15882042 19491597 20296386 22619878 23823063 27722574 30444579 33929817 38983194 47646126 60889158 67859634 71469189 101789451 124409329 142938378 203578902 214407567 248818658 305368353 373227987 428815134 610736706 746455974 916105059 1119683961 1832210118 2239367922 3359051883 6718103766 10077155649 20154311298