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213684692143104 = 2103371384931403
BaseRepresentation
bin110000100101100001011000…
…001010110100110000000000
31001000121001112121012021122000
4300211201120022310300000
5211002002222142034404
62034245220430544000
763003131605301310
oct6045413012646000
91030531477167560
10213684692143104
11620a5194a6a236
121bb71637068000
1392304c2b49130
143aaa573cad440
1519a8668957339
hexc258582b4c00

213684692143104 has 352 divisors, whose sum is σ = 778868536266240. Its totient is φ = 56356401659904.

The previous prime is 213684692142979. The next prime is 213684692143123. The reversal of 213684692143104 is 401341296486312.

213684692143104 is a `hidden beast` number, since 2 + 1 + 3 + 68 + 469 + 2 + 14 + 3 + 104 = 666.

It is a super-2 number, since 2×2136846921431042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39949734 + ... + 44981669.

Almost surely, 2213684692143104 is an apocalyptic number.

213684692143104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213684692143104 is an abundant number, since it is smaller than the sum of its proper divisors (565183844123136).

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

213684692143104 is a wasteful number, since it uses less digits than its factorization.

213684692143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84931452 (or 84931428 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 213684692143104 in words is "two hundred thirteen trillion, six hundred eighty-four billion, six hundred ninety-two million, one hundred forty-three thousand, one hundred four".