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20312488768 = 2611213201769
BaseRepresentation
bin10010111010101101…
…111111101101000000
31221102121112100020211
4102322231333231000
5313044444120033
613155331043504
71316235206605
oct227255775500
957377470224
1020312488768
118683963500
123b2a740594
131bb9359030
14da99ca6ac
157dd3e52cd
hex4bab7fb40

20312488768 has 84 divisors (see below), whose sum is σ = 47713358980. Its totient is φ = 8522680320.

The previous prime is 20312488753. The next prime is 20312488829. The reversal of 20312488768 is 86788421302.

It can be written as a sum of positive squares in 2 ways, for example, as 9049336384 + 11263152384 = 95128^2 + 106128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213 + ... + 201556.

Almost surely, 220312488768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23856679490).

20312488768 is an abundant number, since it is smaller than the sum of its proper divisors (27400870212).

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

20312488768 is a wasteful number, since it uses less digits than its factorization.

20312488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201816 (or 201795 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 20312488768 in words is "twenty billion, three hundred twelve million, four hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 143 176 208 242 286 352 416 484 572 704 832 968 1144 1573 1936 2288 3146 3872 4576 6292 7744 9152 12584 25168 50336 100672 201769 403538 807076 1614152 2219459 2622997 3228304 4438918 5245994 6456608 8877836 10491988 12913216 17755672 20983976 24414049 28852967 35511344 41967952 48828098 57705934 71022688 83935904 97656196 115411868 142045376 167871808 195312392 230823736 317382637 390624784 461647472 634765274 781249568 923294944 1269530548 1562499136 1846589888 2539061096 5078122192 10156244384 20312488768