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20335041131454 = 23271671951495337
BaseRepresentation
bin1001001111110100111101…
…11001110011001110111110
32200000000021222110110002100
410213322132321303032332
510131132131012201304
6111125442224205530
74166105163450330
oct447723671631676
980000258413070
1020335041131454
116530051649005
1223450981698a6
13b46780a07b4a
14504315135450
15253e639ec439
hex127e9ee733be

20335041131454 has 96 divisors (see below), whose sum is σ = 50681018658816. Its totient is φ = 5772249475200.

The previous prime is 20335041131453. The next prime is 20335041131501. The reversal of 20335041131454 is 45413114053302.

20335041131454 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 504 + 1 + 1 + 3 + 145 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20335041131453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40805274 + ... + 41300610.

It is an arithmetic number, because the mean of its divisors is an integer number (527927277696).

Almost surely, 220335041131454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20335041131454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25340509329408).

20335041131454 is an abundant number, since it is smaller than the sum of its proper divisors (30345977527362).

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

20335041131454 is a wasteful number, since it uses less digits than its factorization.

20335041131454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497470 (or 497467 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 20335041131454 its reverse (45413114053302), we get a palindrome (65748155184756).

The spelling of 20335041131454 in words is "twenty trillion, three hundred thirty-five billion, forty-one million, one hundred thirty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 334 501 1002 1169 1503 1951 2338 3006 3507 3902 5853 7014 10521 11706 13657 17559 21042 27314 35118 40971 81942 122913 245826 325817 495337 651634 977451 990674 1486011 1954902 2280719 2932353 2972022 3467359 4458033 4561438 5864706 6842157 6934718 8916066 10402077 13684314 20526471 20804154 31206231 41052942 62412462 82721279 165442558 248163837 496327674 579048953 744491511 966402487 1158097906 1488983022 1737146859 1932804974 2899207461 3474293718 5211440577 5798414922 6764817409 8697622383 10422881154 13529634818 17395244766 20294452227 40588904454 60883356681 121766713362 161389215329 322778430658 484167645987 968335291974 1129724507303 1452502937961 2259449014606 2905005875922 3389173521909 6778347043818 10167520565727 20335041131454