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214053345660 = 2235711137383883
BaseRepresentation
bin1100011101011010010…
…0101101100101111100
3202110111202010121120010
43013112210231211330
512001340124030120
6242200150023220
721315304263150
oct3072644554574
9673452117503
10214053345660
1182863595860
123559a047b10
13172539b821b
14a5086c3060
15587c0e37e0
hex31d692d97c

214053345660 has 384 divisors, whose sum is σ = 755514998784. Its totient is φ = 43988797440.

The previous prime is 214053345601. The next prime is 214053345673. The reversal of 214053345660 is 66543350412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242415579 + ... + 242416461.

It is an arithmetic number, because the mean of its divisors is an integer number (1967486976).

Almost surely, 2214053345660 is an apocalyptic number.

214053345660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214053345660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377757499392).

214053345660 is an abundant number, since it is smaller than the sum of its proper divisors (541461653124).

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

214053345660 is a wasteful number, since it uses less digits than its factorization.

214053345660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 214053345660 in words is "two hundred fourteen billion, fifty-three million, three hundred forty-five thousand, six hundred sixty".