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214087363792 = 2475734575113
BaseRepresentation
bin1100011101100010011…
…0011110110011010000
3202110121010010220122221
43013120212132303100
512001422331120132
6242203403110424
721316166365321
oct3073046366320
9673533126587
10214087363792
1182880810115
12355a9512414
131725aa690b3
14a50d01a448
1558800b2e97
hex31d899ecd0

214087363792 has 40 divisors (see below), whose sum is σ = 415543613576. Its totient is φ = 106850451456.

The previous prime is 214087363747. The next prime is 214087363799. The reversal of 214087363792 is 297363780412.

214087363792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10527580816 + 203559782976 = 102604^2 + 451176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214087363799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41868628 + ... + 41873740.

Almost surely, 2214087363792 is an apocalyptic number.

It is an amenable number.

214087363792 is a deficient number, since it is larger than the sum of its proper divisors (201456249784).

214087363792 is a wasteful number, since it uses less digits than its factorization.

214087363792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9335 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 214087363792 in words is "two hundred fourteen billion, eighty-seven million, three hundred sixty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 757 1514 3028 3457 5113 6056 6914 10226 12112 13828 20452 27656 40904 55312 81808 2616949 3870541 5233898 7741082 10467796 15482164 17675641 20935592 30964328 35351282 41871184 61928656 70702564 141405128 282810256 13380460237 26760920474 53521840948 107043681896 214087363792