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214623363326412 = 223312795320639807
BaseRepresentation
bin110000110011001011100101…
…010101001110000111001100
31001010220210102012122000112210
4300303023211111032013030
5211112342122002421122
62040244340104030420
763131012006562435
oct6063134525160714
91033823365560483
10214623363326412
1162427291418457
12200a3542162410
13929ab862a0311
143addb7d1a048c
1519c2ca5e8740c
hexc332e554e1cc

214623363326412 has 48 divisors (see below), whose sum is σ = 516960812777472. Its totient is φ = 69230862877440.

The previous prime is 214623363326389. The next prime is 214623363326417.

214623363326412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214623363326417) by changing a digit.

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, 78613 + ... + 20718419.

It is an arithmetic number, because the mean of its divisors is an integer number (10770016932864).

Almost surely, 2214623363326412 is an apocalyptic number.

It is an amenable number.

214623363326412 is an abundant number, since it is smaller than the sum of its proper divisors (302337449451060).

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

214623363326412 is a wasteful number, since it uses less digits than its factorization.

214623363326412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20667798 (or 20667796 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 48.

The spelling of 214623363326412 in words is "two hundred fourteen trillion, six hundred twenty-three billion, three hundred sixty-three million, three hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 27953 55906 83859 111812 167718 335436 866543 1733086 2599629 3466172 5199258 10398516 20639807 41279614 61919421 82559228 123838842 247677684 639834017 1279668034 1919502051 2559336068 3839004102 7678008204 576944525071 1153889050142 1730833575213 2307778100284 3461667150426 6923334300852 17885280277201 35770560554402 53655840831603 71541121108804 107311681663206 214623363326412