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3115480896 = 263211244701
BaseRepresentation
bin1011100110110010…
…0111011101000000
322001010022211100100
42321230213131000
522340030342041
61233051322400
7140130102453
oct27154473500
98033284310
103115480896
111359675a00
1272b450400
133a85b8528
14217aa749a
151337a56b6
hexb9b27740

3115480896 has 126 divisors (see below), whose sum is σ = 9815799266. Its totient is φ = 944064000.

The previous prime is 3115480891. The next prime is 3115480903. The reversal of 3115480896 is 6980845113.

3115480896 is a `hidden beast` number, since 3 + 11 + 548 + 0 + 8 + 96 = 666.

3115480896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1568160000 + 1547320896 = 39600^2 + 39336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115480891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47346 + ... + 92046.

Almost surely, 23115480896 is an apocalyptic number.

3115480896 is a gapful number since it is divisible by the number (36) 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 3115480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907899633).

3115480896 is an abundant number, since it is smaller than the sum of its proper divisors (6700318370).

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

3115480896 is a wasteful number, since it uses less digits than its factorization.

3115480896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44741 (or 44717 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 3115480896 is about 55816.4930464106. The cubic root of 3115480896 is about 1460.5228777069.

The spelling of 3115480896 in words is "three billion, one hundred fifteen million, four hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 44701 69696 89402 134103 178804 268206 357608 402309 491711 536412 715216 804618 983422 1072824 1430432 1475133 1609236 1966844 2145648 2860864 2950266 3218472 3933688 4291296 4425399 5408821 5900532 6436944 7867376 8582592 8850798 10817642 11801064 12873888 15734752 16226463 17701596 21635284 23602128 25747776 31469504 32452926 35403192 43270568 47204256 48679389 64905852 70806384 86541136 94408512 97358778 129811704 141612768 173082272 194717556 259623408 283225536 346164544 389435112 519246816 778870224 1038493632 1557740448 3115480896