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3991051456 = 267292771109
BaseRepresentation
bin1110110111100010…
…1001110011000000
3101022010212102100121
43231320221303000
531133202121311
61500010030024
7200621243350
oct35570516300
911263772317
103991051456
111768932037
12934718314
134b7b0a612
1429c0a4b60
151855a8b71
hexede29cc0

3991051456 has 112 divisors (see below), whose sum is σ = 9405518400. Its totient is φ = 1644023808.

The previous prime is 3991051451. The next prime is 3991051457. The reversal of 3991051456 is 6541501993.

3991051456 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 not an unprimeable number, because it can be changed into a prime (3991051451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3598230 + ... + 3599338.

Almost surely, 23991051456 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 3991051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702759200).

3991051456 is an abundant number, since it is smaller than the sum of its proper divisors (5414466944).

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

3991051456 is a wasteful number, since it uses less digits than its factorization.

3991051456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The square root of 3991051456 is about 63174.7691408524. The cubic root of 3991051456 is about 1586.2164241241.

The spelling of 3991051456 in words is "three billion, nine hundred ninety-one million, fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 277 406 448 464 554 812 928 1108 1109 1624 1856 1939 2216 2218 3248 3878 4432 4436 6496 7756 7763 8033 8864 8872 12992 15512 15526 16066 17728 17744 31024 31052 32132 32161 35488 56231 62048 62104 64264 64322 70976 112462 124096 124208 128528 128644 224924 225127 248416 257056 257288 307193 449848 450254 496832 514112 514576 614386 899696 900508 1029152 1228772 1799392 1801016 2058304 2150351 2457544 3598784 3602032 4300702 4915088 7204064 8601404 8908597 9830176 14408128 17202808 17817194 19660352 34405616 35634388 62360179 68811232 71268776 124720358 137622464 142537552 249440716 285075104 498881432 570150208 997762864 1995525728 3991051456