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214645242546412 = 222343110091536441
BaseRepresentation
bin110000110011011111111101…
…011011110100100011101100
31001010222212220000020120000021
4300303133331123310203230
5211113221424042441122
62040302355123411524
763132415131101026
oct6063377533644354
91033885800216007
10214645242546412
116243559969a257
12200a7829523ba4
13929cc620b4342
143b00c56ca1016
1519c3636ba91c7
hexc337fd6f48ec

214645242546412 has 48 divisors (see below), whose sum is σ = 392909964862464. Its totient is φ = 102407898032000.

The previous prime is 214645242546359. The next prime is 214645242546419.

214645242546412 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 214645242546412.

It is not an unprimeable number, because it can be changed into a prime (214645242546419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399860112 + ... + 400396552.

It is an arithmetic number, because the mean of its divisors is an integer number (8185624267968).

Almost surely, 2214645242546412 is an apocalyptic number.

It is an amenable number.

214645242546412 is a deficient number, since it is larger than the sum of its proper divisors (178264722316052).

214645242546412 is a wasteful number, since it uses less digits than its factorization.

214645242546412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546990 (or 546988 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 52.

The spelling of 214645242546412 in words is "two hundred fourteen trillion, six hundred forty-five billion, two hundred forty-two million, five hundred forty-six thousand, four hundred twelve".

Divisors: 1 2 4 23 46 92 431 862 1724 9913 10091 19826 20182 39652 40364 232093 464186 536441 928372 1072882 2145764 4349221 8698442 12338143 17396884 24676286 49352572 100032083 200064166 231206071 400128332 462412142 924824284 5317739633 5413226131 10635479266 10826452262 21270958532 21652904524 124504201013 249008402026 498016804052 2333100462461 4666200924922 9332401849844 53661310636603 107322621273206 214645242546412