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4068056256 = 2631119101377
BaseRepresentation
bin1111001001111001…
…1001110011000000
3101111111202200002020
43302132121303000
531312410300011
61511400321440
7202544623215
oct36236316300
911444680066
104068056256
1117a8347970
12956473280
134caa5c5a4
142a83cbb0c
1518c21a006
hexf2799cc0

4068056256 has 112 divisors (see below), whose sum is σ = 12360005760. Its totient is φ = 1167851520.

The previous prime is 4068056249. The next prime is 4068056263. The reversal of 4068056256 is 6526508604.

4068056256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4068056249) and next prime (4068056263).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10561 + ... + 90816.

Almost surely, 24068056256 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 4068056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180002880).

4068056256 is an abundant number, since it is smaller than the sum of its proper divisors (8291949504).

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

4068056256 is a wasteful number, since it uses less digits than its factorization.

4068056256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101422 (or 101412 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 4068056256 is about 63781.3158848263. The cubic root of 4068056256 is about 1596.3531859488.

The spelling of 4068056256 in words is "four billion, sixty-eight million, fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 3344 3648 5016 6688 10032 13376 20064 40128 101377 202754 304131 405508 608262 811016 1115147 1216524 1622032 1926163 2230294 2433048 3244064 3345441 3852326 4460588 4866096 5778489 6488128 6690882 7704652 8921176 9732192 11556978 13381764 15409304 17842352 19464384 21187793 23113956 26763528 30818608 35684704 42375586 46227912 53527056 61637216 63563379 71369408 84751172 92455824 107054112 123274432 127126758 169502344 184911648 214108224 254253516 339004688 369823296 508507032 678009376 1017014064 1356018752 2034028128 4068056256