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20611646304 = 253678338609
BaseRepresentation
bin10011001100100011…
…001100001101100000
31222012110110010020120
4103030203030031200
5314203040140204
613245135040240
71326530050164
oct231443141540
958173403216
1020611646304
118817811a37
123bb2970080
131c36320522
14dd7620ca4
158097d96d9
hex4cc8cc360

20611646304 has 96 divisors (see below), whose sum is σ = 55576160640. Its totient is φ = 6686287872.

The previous prime is 20611646269. The next prime is 20611646309. The reversal of 20611646304 is 40364611602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×206116463042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20611646309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514552 + ... + 553160.

It is an arithmetic number, because the mean of its divisors is an integer number (578918340).

Almost surely, 220611646304 is an apocalyptic number.

20611646304 is a gapful number since it is divisible by the number (24) 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 20611646304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27788080320).

20611646304 is an abundant number, since it is smaller than the sum of its proper divisors (34964514336).

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

20611646304 is a wasteful number, since it uses less digits than its factorization.

20611646304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38772 (or 38764 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 20611646304 in words is "twenty billion, six hundred eleven million, six hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 83 96 134 166 201 249 268 332 402 498 536 664 804 996 1072 1328 1608 1992 2144 2656 3216 3984 5561 6432 7968 11122 16683 22244 33366 38609 44488 66732 77218 88976 115827 133464 154436 177952 231654 266928 308872 463308 533856 617744 926616 1235488 1853232 2586803 3204547 3706464 5173606 6409094 7760409 9613641 10347212 12818188 15520818 19227282 20694424 25636376 31041636 38454564 41388848 51272752 62083272 76909128 82777696 102545504 124166544 153818256 214704649 248333088 307636512 429409298 644113947 858818596 1288227894 1717637192 2576455788 3435274384 5152911576 6870548768 10305823152 20611646304