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214656656412 = 223111626186791
BaseRepresentation
bin1100011111101010001…
…0001010010000011100
3202112001210100222022210
43013322202022100130
512004104101001122
6242340101040420
721336251321502
oct3077242122034
9675053328283
10214656656412
11830430a5090
12357280b6110
131731b9a2a33
14a56488c672
1558b506740c
hex31fa88a41c

214656656412 has 24 divisors (see below), whose sum is σ = 546398762112. Its totient is φ = 65047471600.

The previous prime is 214656656377. The next prime is 214656656443.

It is a happy number.

214656656412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 813093264 + ... + 813093527.

It is an arithmetic number, because the mean of its divisors is an integer number (22766615088).

Almost surely, 2214656656412 is an apocalyptic number.

214656656412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214656656412 is an abundant number, since it is smaller than the sum of its proper divisors (331742105700).

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

214656656412 is a wasteful number, since it uses less digits than its factorization.

214656656412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626186809 (or 1626186807 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 214656656412 in words is "two hundred fourteen billion, six hundred fifty-six million, six hundred fifty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1626186791 3252373582 4878560373 6504747164 9757120746 17888054701 19514241492 35776109402 53664164103 71552218804 107328328206 214656656412