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20977379584 = 28731377617
BaseRepresentation
bin10011100010010110…
…010110100100000000
32000010221122021222121
4103202112112210000
5320430202121314
613345322014024
71341560533030
oct234226264400
960127567877
1020977379584
118995202847
124095347314
131c94024a55
1410300258c0
1582b97ed24
hex4e2596900

20977379584 has 72 divisors (see below), whose sum is σ = 49398476288. Its totient is φ = 8700272640.

The previous prime is 20977379569. The next prime is 20977379587. The reversal of 20977379584 is 48597377902.

It is a super-2 number, since 2×209773795842 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20977379587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133257 + ... + 244360.

Almost surely, 220977379584 is an apocalyptic number.

It is an amenable number.

20977379584 is an abundant number, since it is smaller than the sum of its proper divisors (28421096704).

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

20977379584 is an equidigital number, since it uses as much as digits as its factorization.

20977379584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377671 (or 377657 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 61.

The spelling of 20977379584 in words is "twenty billion, nine hundred seventy-seven million, three hundred seventy-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 3472 3968 6944 7936 13888 27776 55552 377617 755234 1510468 2643319 3020936 5286638 6041872 10573276 11706127 12083744 21146552 23412254 24167488 42293104 46824508 48334976 81942889 84586208 93649016 96669952 163885778 169172416 187298032 327771556 338344832 374596064 655543112 676689664 749192128 1311086224 1498384256 2622172448 2996768512 5244344896 10488689792 20977379584