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2214535051664 = 241386929122477
BaseRepresentation
bin100000001110011100100…
…100110011100110010000
321211201002202101122221022
4200032130210303212100
5242240331433123124
64413202055415012
7315665146233005
oct40163444634620
97751082348838
102214535051664
117841a7338481
122b9237384468
13130aa2c9a920
14792811258ac
153c912523c5e
hex2039c933990

2214535051664 has 40 divisors (see below), whose sum is σ = 4620803442360. Its totient is φ = 1022072997888.

The previous prime is 2214535051633. The next prime is 2214535051691. The reversal of 2214535051664 is 4661505354122.

It can be written as a sum of positive squares in 4 ways, for example, as 308589138064 + 1905945913600 = 555508^2 + 1380560^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18019994 + ... + 18142470.

It is an arithmetic number, because the mean of its divisors is an integer number (115520086059).

Almost surely, 22214535051664 is an apocalyptic number.

It is an amenable number.

2214535051664 is an abundant number, since it is smaller than the sum of its proper divisors (2406268390696).

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

2214535051664 is a wasteful number, since it uses less digits than its factorization.

2214535051664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209427 (or 209421 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 2214535051664 in words is "two trillion, two hundred fourteen billion, five hundred thirty-five million, fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 86929 122477 173858 244954 347716 489908 695432 979816 1130077 1390864 1592201 1959632 2260154 3184402 4520308 6368804 9040616 12737608 18081232 25475216 10646803133 21293606266 42587212532 85174425064 138408440729 170348850128 276816881458 553633762916 1107267525832 2214535051664