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20495394969856 = 2897229172
BaseRepresentation
bin1001010100011111101001…
…01111001001100100000000
32200120100012022111110010021
410222033310233021210000
510141244032103013411
6111331242055343224
74213512664545352
oct452176457114400
980510168443107
1020495394969856
1165920591681a4
12237018a381b14
13b58927372ab1
1450bda7a350d2
152581eb580a71
hex12a3f4bc9900

20495394969856 has 81 divisors (see below), whose sum is σ = 41351013815139. Its totient is φ = 10138574241792.

The previous prime is 20495394969817. The next prime is 20495394969859. The reversal of 20495394969856 is 65896949359402.

The square root of 20495394969856 is 4527184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8451718809856 + 12043676160000 = 2907184^2 + 3470400^2 .

It is a super-2 number, since 2×204953949698562 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20495394969859) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7026188110 + ... + 7026191026.

Almost surely, 220495394969856 is an apocalyptic number.

20495394969856 is the 4527184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20495394969856

20495394969856 is an abundant number, since it is smaller than the sum of its proper divisors (20855618845283).

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

20495394969856 is an frugal number, since it uses more digits than its factorization.

20495394969856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 4534963200, while the sum is 79.

The spelling of 20495394969856 in words is "twenty trillion, four hundred ninety-five billion, three hundred ninety-four million, nine hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 2917 3104 5834 6208 9409 11668 12416 18818 23336 24832 37636 46672 75272 93344 150544 186688 282949 301088 373376 565898 602176 746752 1131796 1204352 2263592 2408704 4527184 8508889 9054368 17017778 18108736 27446053 34035556 36217472 54892106 68071112 72434944 109784212 136142224 219568424 272284448 439136848 544568896 825362233 878273696 1089137792 1650724466 1756547392 2178275584 3301448932 3513094784 6602897864 7026189568 13205795728 26411591456 52823182912 80060136601 105646365824 160120273202 211292731648 320240546404 640481092808 1280962185616 2561924371232 5123848742464 10247697484928 20495394969856