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214312154253664 = 2541353462741299
BaseRepresentation
bin110000101110101001101111…
…110100110100100101100000
31001002211001010111212002200011
4300232221233310310211200
5211042242242442104124
62035445351113334304
763066353653241515
oct6056515764644540
91032731114762604
10214312154253664
1162317301a73975
122005316aa07394
13927771b1342ac
143acca994c730c
1519b9b3e6db994
hexc2ea6fd34960

214312154253664 has 48 divisors (see below), whose sum is σ = 433442371849200. Its totient is φ = 104246359613440.

The previous prime is 214312154253647. The next prime is 214312154253667. The reversal of 214312154253664 is 466352451213412.

It is a happy number.

214312154253664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214312154253667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230907514 + ... + 231833785.

It is an arithmetic number, because the mean of its divisors is an integer number (9030049413525).

Almost surely, 2214312154253664 is an apocalyptic number.

It is an amenable number.

214312154253664 is an abundant number, since it is smaller than the sum of its proper divisors (219130217595536).

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

214312154253664 is a wasteful number, since it uses less digits than its factorization.

214312154253664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462741703 (or 462741695 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

The spelling of 214312154253664 in words is "two hundred fourteen trillion, three hundred twelve billion, one hundred fifty-four million, two hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 353 656 706 1312 1412 2824 5648 11296 14473 28946 57892 115784 231568 463136 462741299 925482598 1850965196 3701930392 7403860784 14807721568 18972393259 37944786518 75889573036 151779146072 163347678547 303558292144 326695357094 607116584288 653390714188 1306781428376 2613562856752 5227125713504 6697254820427 13394509640854 26789019281708 53578038563416 107156077126832 214312154253664