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214147476271664 = 241318311494737619
BaseRepresentation
bin110000101100010000011000…
…010000001011001000110000
31001002020022001211011211202122
4300230100120100023020300
5211032043012411143124
62035241554212533412
763051434044423025
oct6054203020131060
91032208054154678
10214147476271664
11622634865a6691
1220027270621268
1392650359756b0
143ac4b165b754c
1519b570220575e
hexc2c41840b230

214147476271664 has 80 divisors (see below), whose sum is σ = 447112775450880. Its totient is φ = 98774082167040.

The previous prime is 214147476271661. The next prime is 214147476271711. The reversal of 214147476271664 is 466172674741412.

It is a junction number, because it is equal to n+sod(n) for n = 214147476271597 and 214147476271606.

It is not an unprimeable number, because it can be changed into a prime (214147476271661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5692516247 + ... + 5692553865.

It is an arithmetic number, because the mean of its divisors is an integer number (5588909693136).

Almost surely, 2214147476271664 is an apocalyptic number.

It is an amenable number.

214147476271664 is an abundant number, since it is smaller than the sum of its proper divisors (232965299179216).

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

214147476271664 is a wasteful number, since it uses less digits than its factorization.

214147476271664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54418 (or 54412 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 62.

The spelling of 214147476271664 in words is "two hundred fourteen trillion, one hundred forty-seven billion, four hundred seventy-six million, two hundred seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1831 3662 7324 14648 14947 23803 29296 29894 37619 47606 59788 75238 95212 119576 150476 190424 194311 239152 300952 380848 388622 489047 601904 777244 978094 1554488 1956188 3108976 3912376 7824752 27367957 54735914 68880389 109471828 137760778 218943656 275521556 355783441 437887312 551043112 562291193 711566882 895445057 1102086224 1124582386 1423133764 1790890114 2249164772 2846267528 3581780228 4498329544 5692535056 7163560456 7309785509 8996659088 14327120912 14619571018 29239142036 58478284072 116956568144 1029555174383 2059110348766 4118220697532 8236441395064 13384217266979 16472882790128 26768434533958 53536869067916 107073738135832 214147476271664