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214912785942460 = 225227433109324753
BaseRepresentation
bin110000110111011001001000…
…010000111000011110111100
31001011221110110120100021021201
4300313121020100320132330
5211132112341200124320
62041025323151105244
763160636116330034
oct6067311020703674
91034843416307251
10214912785942460
1162529000999621
122012b655212224
1392bc25b903c48
143b0db976028c4
1519ca594c3670a
hexc376484387bc

214912785942460 has 48 divisors (see below), whose sum is σ = 454351928427936. Its totient is φ = 85388753498112.

The previous prime is 214912785942409. The next prime is 214912785942473. The reversal of 214912785942460 is 64249587219412.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 214912785942392 and 214912785942401.

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 15 ways as a sum of consecutive naturals, for example, 52696557 + ... + 56628196.

It is an arithmetic number, because the mean of its divisors is an integer number (9465665175582).

Almost surely, 2214912785942460 is an apocalyptic number.

214912785942460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214912785942460 is an abundant number, since it is smaller than the sum of its proper divisors (239439142485476).

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

214912785942460 is a wasteful number, since it uses less digits than its factorization.

214912785942460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109325422 (or 109325420 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 214912785942460 in words is "two hundred fourteen trillion, nine hundred twelve billion, seven hundred eighty-five million, nine hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 227 433 454 866 908 1135 1732 2165 2270 4330 4540 8660 98291 196582 393164 491455 982910 1965820 109324753 218649506 437299012 546623765 1093247530 2186495060 24816718931 47337618049 49633437862 94675236098 99266875724 124083594655 189350472196 236688090245 248167189310 473376180490 496334378620 946752360980 10745639297123 21491278594246 42982557188492 53728196485615 107456392971230 214912785942460