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3979704512 = 267113127619
BaseRepresentation
bin1110110100110101…
…0111100011000000
3101021100111221021102
43231031113203000
531122301021022
61454522513532
7200422634030
oct35515274300
911240457242
103979704512
1117624919a3
129309658a8
134b5666954
1429a78d8c0
151845b6a92
hexed3578c0

3979704512 has 112 divisors (see below), whose sum is σ = 9191792640. Its totient is φ = 1674473472.

The previous prime is 3979704499. The next prime is 3979704523. The reversal of 3979704512 is 2154079793.

3979704512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 6428939 + ... + 6429557.

Almost surely, 23979704512 is an apocalyptic number.

3979704512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3979704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595896320).

3979704512 is an abundant number, since it is smaller than the sum of its proper divisors (5212088128).

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

3979704512 is a wasteful number, since it uses less digits than its factorization.

3979704512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 3979704512 is about 63084.8992390414. The cubic root of 3979704512 is about 1584.7117418381.

The spelling of 3979704512 in words is "three billion, nine hundred seventy-nine million, seven hundred four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 127 224 226 254 448 452 508 619 791 889 904 1016 1238 1582 1778 1808 2032 2476 3164 3556 3616 4064 4333 4952 6328 7112 7232 8128 8666 9904 12656 14224 14351 17332 19808 25312 28448 28702 34664 39616 50624 56896 57404 69328 69947 78613 100457 114808 138656 139894 157226 200914 229616 277312 279788 314452 401828 459232 489629 550291 559576 628904 803656 918464 979258 1100582 1119152 1257808 1607312 1958516 2201164 2238304 2515616 3214624 3917032 4402328 4476608 5031232 6429248 7834064 8804656 8883269 15668128 17609312 17766538 31336256 35218624 35533076 62182883 71066152 124365766 142132304 248731532 284264608 497463064 568529216 994926128 1989852256 3979704512