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20469597184 = 2101722632
BaseRepresentation
bin10011000100000101…
…010100010000000000
31221211120011021111001
4103010011110100000
5313410204102214
613223102301344
71323153463621
oct230405242000
957746137431
1020469597184
118754610373
123b73287854
131c12a765aa
14dc2805a48
157ec0cac74
hex4c4154400

20469597184 has 99 divisors (see below), whose sum is σ = 43633710757. Its totient is φ = 9596125184.

The previous prime is 20469597173. The next prime is 20469597227. The reversal of 20469597184 is 48179596402.

The square root of 20469597184 is 143072.

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

It can be written as a sum of positive squares in only one way, i.e., 15936537600 + 4533059584 = 126240^2 + 67328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77831037 + ... + 77831299.

Almost surely, 220469597184 is an apocalyptic number.

20469597184 is the 143072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20469597184

20469597184 is an abundant number, since it is smaller than the sum of its proper divisors (23164113573).

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

20469597184 is an frugal number, since it uses more digits than its factorization.

20469597184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 20469597184 in words is "twenty billion, four hundred sixty-nine million, five hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 263 272 289 512 526 544 578 1024 1052 1088 1156 2104 2176 2312 4208 4352 4471 4624 8416 8704 8942 9248 16832 17408 17884 18496 33664 35768 36992 67328 69169 71536 73984 76007 134656 138338 143072 147968 152014 269312 276676 286144 295936 304028 553352 572288 608056 1106704 1144576 1175873 1216112 2213408 2289152 2351746 2432224 4426816 4578304 4703492 4864448 8853632 9406984 9728896 17707264 18813968 19457792 19989841 35414528 37627936 38915584 39979682 70829056 75255872 77831168 79959364 150511744 159918728 301023488 319837456 602046976 639674912 1204093952 1279349824 2558699648 5117399296 10234798592 20469597184