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2955645216 = 253210262657
BaseRepresentation
bin1011000000101011…
…1001000100100000
321121222120100000100
42300022321010200
522023121121331
61205141422400
7133146366306
oct26012710440
97558510010
102955645216
111287425aa7
126a5a0aa00
133814547c4
1420077c276
15124731ae6
hexb02b9120

2955645216 has 36 divisors (see below), whose sum is σ = 8405116902. Its totient is φ = 985214976.

The previous prime is 2955645197. The next prime is 2955645221. The reversal of 2955645216 is 6125465592.

2955645216 is a `hidden beast` number, since 29 + 5 + 564 + 52 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2323625616 + 632019600 = 48204^2 + 25140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5131041 + ... + 5131616.

Almost surely, 22955645216 is an apocalyptic number.

It is an amenable number.

2955645216 is an abundant number, since it is smaller than the sum of its proper divisors (5449471686).

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

2955645216 is a wasteful number, since it uses less digits than its factorization.

2955645216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262673 (or 10262662 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 2955645216 is about 54365.8460432651. The cubic root of 2955645216 is about 1435.1063979999.

The spelling of 2955645216 in words is "two billion, nine hundred fifty-five million, six hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10262657 20525314 30787971 41050628 61575942 82101256 92363913 123151884 164202512 184727826 246303768 328405024 369455652 492607536 738911304 985215072 1477822608 2955645216