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2968146207 = 331338322079
BaseRepresentation
bin1011000011101010…
…0101000100011111
321122212002110011000
42300322211010133
522034321134312
61210305401343
7133360553325
oct26072450437
97585073130
102968146207
1112934941a4
126aa039253
13383c10840
142022b3d15
151258a0adc
hexb0ea511f

2968146207 has 32 divisors (see below), whose sum is σ = 4748083200. Its totient is φ = 1821699936.

The previous prime is 2968146197. The next prime is 2968146211. The reversal of 2968146207 is 7026418692.

It is a happy number.

2968146207 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 14 + 620 + 7 = 666.

2968146207 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 is not a de Polignac number, because 2968146207 - 28 = 2968145951 is a prime.

It is a super-2 number, since 2×29681462072 = 17619783812256973698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968146107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123394 + ... + 145472.

It is an arithmetic number, because the mean of its divisors is an integer number (148377600).

Almost surely, 22968146207 is an apocalyptic number.

2968146207 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2968146207 is a deficient number, since it is larger than the sum of its proper divisors (1779936993).

2968146207 is a wasteful number, since it uses less digits than its factorization.

2968146207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22484 (or 22478 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2968146207 is about 54480.6957279365. The cubic root of 2968146207 is about 1437.1268275141.

The spelling of 2968146207 in words is "two billion, nine hundred sixty-eight million, one hundred forty-six thousand, two hundred seven".

Divisors: 1 3 9 13 27 39 117 351 383 1149 3447 4979 10341 14937 22079 44811 66237 134433 198711 287027 596133 861081 2583243 7749729 8456257 25368771 76106313 109931341 228318939 329794023 989382069 2968146207