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214764484467412 = 221121854123932273
BaseRepresentation
bin110000110101001111000000…
…110011101001101011010100
31001011102021200011221202121201
4300311033000303221223110
5211122200131010424122
62040433235255522244
763144136063515415
oct6065170063515324
91034367604852551
10214764484467412
1162481119646400
1220106967389384
1392ab286205849
143b0692967180c
1519c67b5318a27
hexc353c0ce9ad4

214764484467412 has 36 divisors (see below), whose sum is σ = 413133321016948. Its totient is φ = 97614951033600.

The previous prime is 214764484467391. The next prime is 214764484467469.

214764484467412 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 147603935383696 + 67160549083716 = 12149236^2 + 8195154^2 .

It is a super-2 number, since 2×2147644844674122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2992293 + ... + 20939980.

Almost surely, 2214764484467412 is an apocalyptic number.

214764484467412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214764484467412 is a deficient number, since it is larger than the sum of its proper divisors (198368836549536).

214764484467412 is a wasteful number, since it uses less digits than its factorization.

214764484467412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23950840 (or 23950827 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 64.

The spelling of 214764484467412 in words is "two hundred fourteen trillion, seven hundred sixty-four billion, four hundred eighty-four million, four hundred sixty-seven thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 121 242 484 18541 37082 74164 203951 407902 815804 2243461 4486922 8973844 23932273 47864546 95729092 263255003 526510006 1053020012 2895805033 5791610066 11583220132 443728273693 887456547386 1774913094772 4881011010623 9762022021246 19524044042492 53691121116853 107382242233706 214764484467412