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2064048128 = 2131989149
BaseRepresentation
bin111101100000110…
…1110000000000000
312022211212111201222
41323001232000000
513211344020003
6540451414212
7102102056012
oct17301560000
95284774658
102064048128
1196a1129aa
124972b4368
1326b810a6c
141581ac1b2
15c1314c38
hex7b06e000

2064048128 has 112 divisors (see below), whose sum is σ = 4423410000. Its totient is φ = 960233472.

The previous prime is 2064048101. The next prime is 2064048137. The reversal of 2064048128 is 8218404602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13852598 + ... + 13852746.

Almost surely, 22064048128 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 2064048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211705000).

2064048128 is an abundant number, since it is smaller than the sum of its proper divisors (2359361872).

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

2064048128 is an equidigital number, since it uses as much as digits as its factorization.

2064048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 2064048128 is about 45431.7964425797. The cubic root of 2064048128 is about 1273.2292482437.

The spelling of 2064048128 in words is "two billion, sixty-four million, forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 89 128 149 152 178 256 298 304 356 512 596 608 712 1024 1192 1216 1424 1691 2048 2384 2432 2831 2848 3382 4096 4768 4864 5662 5696 6764 8192 9536 9728 11324 11392 13261 13528 19072 19456 22648 22784 26522 27056 38144 38912 45296 45568 53044 54112 76288 77824 90592 91136 106088 108224 152576 155648 181184 182272 212176 216448 251959 305152 362368 364544 424352 432896 503918 610304 724736 729088 848704 865792 1007836 1220608 1449472 1697408 1731584 2015672 2898944 3394816 3463168 4031344 5797888 6789632 6926336 8062688 11595776 13579264 13852672 16125376 23191552 27158528 32250752 54317056 64501504 108634112 129003008 258006016 516012032 1032024064 2064048128