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20899380269056 = 21261211712
BaseRepresentation
bin1001100000010000001000…
…01000110001000000000000
32201222221221202002222212011
410300020010020301000000
510214403412322102211
6112241013122342304
74254634061124442
oct460100410610000
981887852088764
1020899380269056
1167284173528a3
1224165341ba994
13b87a59556433
1452376d202492
15263992c98921
hex130204231000

20899380269056 has 117 divisors (see below), whose sum is σ = 42526348162389. Its totient is φ = 10269606297600.

The previous prime is 20899380269051. The next prime is 20899380269063. The reversal of 20899380269056 is 65096208399802.

The square root of 20899380269056 is 4571584.

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., 679608979456 + 20219771289600 = 824384^2 + 4496640^2 .

It is a super-2 number, since 2×208993802690562 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20899380268982 and 20899380269000.

It is not an unprimeable number, because it can be changed into a prime (20899380269051) 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, 17847463351 + ... + 17847464521.

It is an arithmetic number, because the mean of its divisors is an integer number (363473061217).

Almost surely, 220899380269056 is an apocalyptic number.

20899380269056 is the 4571584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20899380269056

20899380269056 is an abundant number, since it is smaller than the sum of its proper divisors (21626967893333).

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

20899380269056 is an frugal number, since it uses more digits than its factorization.

20899380269056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 67.

The spelling of 20899380269056 in words is "twenty trillion, eight hundred ninety-nine billion, three hundred eighty million, two hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1171 1952 2048 2342 3721 3904 4096 4684 7442 7808 9368 14884 15616 18736 29768 31232 37472 59536 62464 71431 74944 119072 124928 142862 149888 238144 249856 285724 299776 476288 571448 599552 952576 1142896 1199104 1371241 1905152 2285792 2398208 2742482 3810304 4357291 4571584 4796416 5484964 7620608 8714582 9143168 10969928 15241216 17429164 18286336 21939856 34858328 36572672 43879712 69716656 73145344 83645701 87759424 139433312 146290688 167291402 175518848 278866624 292581376 334582804 351037696 557733248 669165608 702075392 1115466496 1338331216 1404150784 2230932992 2676662432 2808301568 4461865984 5102387761 5353324864 5616603136 8923731968 10204775522 10706649728 17847463936 20409551044 21413299456 40819102088 42826598912 81638204176 85653197824 163276408352 171306395648 326552816704 342612791296 653105633408 1306211266816 2612422533632 5224845067264 10449690134528 20899380269056