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2964868071 = 3115312971307
BaseRepresentation
bin1011000010111000…
…0100101111100111
321122121220220101120
42300232010233213
522033001234241
61210111225023
7133320651144
oct26056045747
97577826346
102964868071
1112916552a0
126a8b18173
13383333709
14201a9d3cb
15125454666
hexb0b84be7

2964868071 has 32 divisors (see below), whose sum is σ = 4400656128. Its totient is φ = 1760279040.

The previous prime is 2964868069. The next prime is 2964868073. The reversal of 2964868071 is 1708684692.

It is an interprime number because it is at equal distance from previous prime (2964868069) and next prime (2964868073).

It is not a de Polignac number, because 2964868071 - 21 = 2964868069 is a prime.

It is a super-3 number, since 3×29648680713 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964868073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267800 + ... + 2269106.

It is an arithmetic number, because the mean of its divisors is an integer number (137520504).

Almost surely, 22964868071 is an apocalyptic number.

2964868071 is a deficient number, since it is larger than the sum of its proper divisors (1435788057).

2964868071 is a wasteful number, since it uses less digits than its factorization.

2964868071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671.

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2964868071 is about 54450.6021178830. The cubic root of 2964868071 is about 1436.5975597153.

The spelling of 2964868071 in words is "two billion, nine hundred sixty-four million, eight hundred sixty-eight thousand, seventy-one".

Divisors: 1 3 11 33 53 159 583 1297 1307 1749 3891 3921 14267 14377 42801 43131 68741 69271 206223 207813 756151 761981 1695179 2268453 2285943 5085537 18646969 55940907 89844487 269533461 988289357 2964868071