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213994619904 = 2103135990821
BaseRepresentation
bin1100011101001100010…
…0101100010000000000
3202110100122122000222010
43013103010230100000
512001230110314104
6242150251212520
721313662154062
oct3072304542000
9673318560863
10213994619904
118283342527a
1235582447140
1317244796260
14a500997732
155876d93489
hex31d312c400

213994619904 has 176 divisors, whose sum is σ = 624666450240. Its totient is φ = 64727777280.

The previous prime is 213994619879. The next prime is 213994619959. The reversal of 213994619904 is 409916499312.

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 15 ways as a sum of consecutive naturals, for example, 2310814 + ... + 2401634.

Almost surely, 2213994619904 is an apocalyptic number.

213994619904 is a gapful number since it is divisible by the number (24) 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 213994619904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312333225120).

213994619904 is an abundant number, since it is smaller than the sum of its proper divisors (410671830336).

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

213994619904 is a wasteful number, since it uses less digits than its factorization.

213994619904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90916 (or 90898 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The spelling of 213994619904 in words is "two hundred thirteen billion, nine hundred ninety-four million, six hundred nineteen thousand, nine hundred four".