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20996449344 = 263413311557
BaseRepresentation
bin10011100011011111…
…000110010001000000
32000012021112010210000
4103203133012101000
5321000042334334
613351242440000
71342211606013
oct234337062100
960167463700
1020996449344
1189a4a48182
12409b803000
131c97c70930
14103278b37a
1582d49a299
hex4e37c6440

20996449344 has 140 divisors (see below), whose sum is σ = 67027965004. Its totient is φ = 6460425216.

The previous prime is 20996449321. The next prime is 20996449351. The reversal of 20996449344 is 44394469902.

It is a happy number.

20996449344 is a `hidden beast` number, since 2 + 0 + 99 + 64 + 493 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1866240000 + 19130209344 = 43200^2 + 138312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88387 + ... + 223170.

Almost surely, 220996449344 is an apocalyptic number.

20996449344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20996449344 is an abundant number, since it is smaller than the sum of its proper divisors (46031515660).

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

20996449344 is a wasteful number, since it uses less digits than its factorization.

20996449344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311594 (or 311575 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 20996449344 in words is "twenty billion, nine hundred ninety-six million, four hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 311557 623114 934671 1246228 1869342 2492456 2804013 3738684 4050241 4984912 5608026 7477368 8100482 8412039 9969824 11216052 12150723 14954736 16200964 16824078 19939648 22432104 24301446 25236117 29909472 32401928 33648156 36452169 44864208 48602892 50472234 59818944 64803856 67296312 72904338 89728416 97205784 100944468 109356507 129607712 134592624 145808676 179456832 194411568 201888936 218713014 259215424 269185248 291617352 328069521 388823136 403777872 437426028 538370496 583234704 656139042 777646272 807555744 874852056 1166469408 1312278084 1615111488 1749704112 2332938816 2624556168 3499408224 5249112336 6998816448 10498224672 20996449344