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20684907776 = 281321792671
BaseRepresentation
bin10011010000111010…
…101010010100000000
31222101120022012002102
4103100322222110000
5314330314022101
613300313205532
71331406546401
oct232072522400
958346265072
1020684907776
118855100405
1240134008a8
131c48561700
1410032519a8
15810e5b86b
hex4d0eaa500

20684907776 has 108 divisors (see below), whose sum is σ = 44976012480. Its totient is φ = 9489991680.

The previous prime is 20684907769. The next prime is 20684907823. The reversal of 20684907776 is 67770948602.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7742921 + ... + 7745591.

It is an arithmetic number, because the mean of its divisors is an integer number (416444560).

Almost surely, 220684907776 is an apocalyptic number.

20684907776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20684907776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22488006240).

20684907776 is an abundant number, since it is smaller than the sum of its proper divisors (24291104704).

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

20684907776 is a wasteful number, since it uses less digits than its factorization.

20684907776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 56.

The spelling of 20684907776 in words is "twenty billion, six hundred eighty-four million, nine hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 179 208 256 338 358 416 676 716 832 1352 1432 1664 2327 2671 2704 2864 3328 4654 5342 5408 5728 9308 10684 10816 11456 18616 21368 21632 22912 30251 34723 37232 42736 43264 45824 60502 69446 74464 85472 121004 138892 148928 170944 242008 277784 297856 341888 451399 478109 484016 555568 595712 683776 902798 956218 968032 1111136 1805596 1912436 1936064 2222272 3611192 3824872 3872128 4444544 6215417 7222384 7649744 7744256 8889088 12430834 14444768 15299488 24861668 28889536 30598976 49723336 57779072 61197952 80800421 99446672 115558144 122395904 161600842 198893344 323201684 397786688 646403368 795573376 1292806736 1591146752 2585613472 5171226944 10342453888 20684907776