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214231195776 = 27313436116361
BaseRepresentation
bin1100011110000100101…
…1001010000010000000
3202110222010210100001110
43013201023022002000
512002221141231101
6242225542003320
721322564055463
oct3074113120200
9673863710043
10214231195776
1182944a1a224
1235629716540
13172817b8690
14a52417b2da
15588ca24cd6
hex31e12ca080

214231195776 has 256 divisors, whose sum is σ = 637395454080. Its totient is φ = 63324979200.

The previous prime is 214231195769. The next prime is 214231195811. The reversal of 214231195776 is 677591132412.

It is a super-2 number, since 2×2142311957762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13085836 + ... + 13102196.

Almost surely, 2214231195776 is an apocalyptic number.

214231195776 is a gapful number since it is divisible by the number (26) 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 214231195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318697727040).

214231195776 is an abundant number, since it is smaller than the sum of its proper divisors (423164258304).

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

214231195776 is a wasteful number, since it uses less digits than its factorization.

214231195776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16495 (or 16483 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The spelling of 214231195776 in words is "two hundred fourteen billion, two hundred thirty-one million, one hundred ninety-five thousand, seven hundred seventy-six".