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2968305088 = 26710364327
BaseRepresentation
bin1011000011101100…
…1011110111000000
321122212101112002111
42300323023313000
522034341230323
61210313025104
7133362114460
oct26073136700
97585345074
102968305088
111293592601
126aa0b5194
13383c67c58
14202315ba0
151258d2c0d
hexb0ecbdc0

2968305088 has 56 divisors (see below), whose sum is σ = 6797153792. Its totient is φ = 1259760384.

The previous prime is 2968305073. The next prime is 2968305091. The reversal of 2968305088 is 8805038692.

2968305088 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 (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13981 + ... + 78307.

Almost surely, 22968305088 is an apocalyptic number.

2968305088 is a gapful number since it is divisible by the number (28) 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 2968305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398576896).

2968305088 is an abundant number, since it is smaller than the sum of its proper divisors (3828848704).

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

2968305088 is a wasteful number, since it uses less digits than its factorization.

2968305088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64449 (or 64439 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 2968305088 is about 54482.1538487604. The cubic root of 2968305088 is about 1437.1524695655.

The spelling of 2968305088 in words is "two billion, nine hundred sixty-eight million, three hundred five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 412 448 721 824 1442 1648 2884 3296 5768 6592 11536 23072 46144 64327 128654 257308 450289 514616 900578 1029232 1801156 2058464 3602312 4116928 6625681 7204624 13251362 14409248 26502724 28818496 46379767 53005448 92759534 106010896 185519068 212021792 371038136 424043584 742076272 1484152544 2968305088