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20800516630656 = 27377738287437
BaseRepresentation
bin1001011101010111111110…
…11001111010100010000000
32201122111202202201210200010
410232223333121322202000
510211243424224140111
6112123343031424520
74244534123064510
oct456537731724200
981574682653603
1020800516630656
11669a4a4408014
1223bb342b25140
13b7b6322b9109
1451ca71067840
152611086c8aa6
hex12eaff67a880

20800516630656 has 64 divisors (see below), whose sum is σ = 63144425494080. Its totient is φ = 5943004750848.

The previous prime is 20800516630627. The next prime is 20800516630711. The reversal of 20800516630656 is 65603661500802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×208005166306562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3869141031 + ... + 3869146406.

It is an arithmetic number, because the mean of its divisors is an integer number (986631648345).

Almost surely, 220800516630656 is an apocalyptic number.

It is an amenable number.

20800516630656 is an abundant number, since it is smaller than the sum of its proper divisors (42343908863424).

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

20800516630656 is an equidigital number, since it uses as much as digits as its factorization.

20800516630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738287461 (or 7738287449 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 20800516630656 in words is "twenty trillion, eight hundred billion, five hundred sixteen million, six hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 7738287437 15476574874 23214862311 30953149748 46429724622 54168012059 61906299496 92859449244 108336024118 123812598992 162504036177 185718898488 216672048236 247625197984 325008072354 371437796976 433344096472 495250395968 650016144708 742875593952 866688192944 990500791936 1300032289416 1485751187904 1733376385888 2600064578832 2971502375808 3466752771776 5200129157664 6933505543552 10400258315328 20800516630656