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20711009288 = 23172412732
BaseRepresentation
bin10011010010011110…
…001110110000001000
31222110101102021122002
4103102132032300020
5314404004244123
613303044450132
71332144450164
oct232236166010
958411367562
1020711009288
118868908902
1240200a9948
131c50aa00a8
1410068c7ca4
158133b5528
hex4d278ec08

20711009288 has 108 divisors (see below), whose sum is σ = 42869644245. Its totient is φ = 9378385920.

The previous prime is 20711009287. The next prime is 20711009303. The reversal of 20711009288 is 88290011702.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 823804804 + 19887204484 = 28702^2 + 141022^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=101762.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20711009281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 283712420 + ... + 283712492.

Almost surely, 220711009288 is an apocalyptic number.

It is an amenable number.

20711009288 is an abundant number, since it is smaller than the sum of its proper divisors (22158634957).

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

20711009288 is an equidigital number, since it uses as much as digits as its factorization.

20711009288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The spelling of 20711009288 in words is "twenty billion, seven hundred eleven million, nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 17 34 41 68 73 82 136 146 164 289 292 328 578 584 697 1156 1241 1394 1681 2312 2482 2788 2993 3362 4964 5329 5576 5986 6724 9928 10658 11849 11972 13448 21097 21316 23698 23944 28577 42194 42632 47396 50881 57154 84388 90593 94792 101762 114308 122713 168776 181186 203524 218489 228616 245426 362372 407048 436978 485809 490852 724744 864977 873956 971618 981704 1540081 1729954 1747912 1943236 2086121 3080162 3459908 3714313 3886472 4172242 6160324 6919816 7428626 8344484 8958049 12320648 14857252 16688968 17916098 29714504 35464057 35832196 63143321 70928114 71664392 126286642 141856228 152286833 252573284 283712456 304573666 505146568 609147332 1218294664 2588876161 5177752322 10355504644 20711009288