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20293216768 = 29116195821
BaseRepresentation
bin10010111001100100…
…011110101000000000
31221101021021020001001
4102321210132220000
5313030030414033
613153402021344
71315612332166
oct227144365000
957337236031
1020293216768
118673aa0130
123b241a7854
131bb536c096
14da7211236
157db889e7d
hex4b991ea00

20293216768 has 80 divisors (see below), whose sum is σ = 44311940640. Its totient is φ = 9207705600.

The previous prime is 20293216759. The next prime is 20293216777. The reversal of 20293216768 is 86761239202.

It is an interprime number because it is at equal distance from previous prime (20293216759) and next prime (20293216777).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3483298 + ... + 3489118.

It is an arithmetic number, because the mean of its divisors is an integer number (553899258).

Almost surely, 220293216768 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 20293216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22155970320).

20293216768 is an abundant number, since it is smaller than the sum of its proper divisors (24018723872).

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

20293216768 is an equidigital number, since it uses as much as digits as its factorization.

20293216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 20293216768 in words is "twenty billion, two hundred ninety-three million, two hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 619 704 1238 1408 2476 2816 4952 5632 5821 6809 9904 11642 13618 19808 23284 27236 39616 46568 54472 64031 79232 93136 108944 128062 158464 186272 217888 256124 316928 372544 435776 512248 745088 871552 1024496 1490176 1743104 2048992 2980352 3486208 3603199 4097984 7206398 8195968 14412796 16391936 28825592 32783872 39635189 57651184 79270378 115302368 158540756 230604736 317081512 461209472 634163024 922418944 1268326048 1844837888 2536652096 5073304192 10146608384 20293216768