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214573522944 = 2133117383131
BaseRepresentation
bin1100011111010110010…
…1000010000000000000
3202111211222221100122110
43013311211002000000
512003421310213234
6242323531135320
721334221565044
oct3076545020000
9674758840573
10214573522944
1183000183740
12357042a4540
13173076b6331
14a55780c024
1558acae51e9
hex31f5942000

214573522944 has 448 divisors, whose sum is σ = 645237508608. Its totient is φ = 62875238400.

The previous prime is 214573522939. The next prime is 214573522981. The reversal of 214573522944 is 449225375412.

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

It is a junction number, because it is equal to n+sod(n) for n = 214573522893 and 214573522902.

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, 1637965759 + ... + 1637965889.

It is an arithmetic number, because the mean of its divisors is an integer number (1440262296).

Almost surely, 2214573522944 is an apocalyptic number.

214573522944 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 214573522944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322618754304).

214573522944 is an abundant number, since it is smaller than the sum of its proper divisors (430663985664).

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

214573522944 is a wasteful number, since it uses less digits than its factorization.

214573522944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 214573522944 in words is "two hundred fourteen billion, five hundred seventy-three million, five hundred twenty-two thousand, nine hundred forty-four".