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2965056016 = 241330614657
BaseRepresentation
bin1011000010111011…
…0010101000010000
321122122021110012111
42300232302220100
522033023243031
61210115235104
7133322363116
oct26056625020
97578243174
102965056016
11129177351a
126a8ba8a94
1338339b120
14201b0bab6
151254901b1
hexb0bb2a10

2965056016 has 40 divisors (see below), whose sum is σ = 6190053464. Its totient is φ = 1367746560.

The previous prime is 2965056007. The next prime is 2965056023. The reversal of 2965056016 is 6106505692.

It can be written as a sum of positive squares in 4 ways, for example, as 204604416 + 2760451600 = 14304^2 + 52540^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2965056016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634360 + ... + 639016.

Almost surely, 22965056016 is an apocalyptic number.

2965056016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2965056016 is an abundant number, since it is smaller than the sum of its proper divisors (3224997448).

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

2965056016 is a wasteful number, since it uses less digits than its factorization.

2965056016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 2965056016 is about 54452.3279208520. The cubic root of 2965056016 is about 1436.6279147055.

The spelling of 2965056016 in words is "two billion, nine hundred sixty-five million, fifty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 3061 4657 6122 9314 12244 18628 24488 37256 39793 48976 60541 74512 79586 121082 159172 242164 318344 484328 636688 968656 14255077 28510154 57020308 114040616 185316001 228081232 370632002 741264004 1482528008 2965056016