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243215690640 = 243513313078191
BaseRepresentation
bin1110001010000011001…
…0001110101110010000
3212020210010020020021020
43202200302032232100
512441101204100030
6303422020155440
723400053155116
oct3424062165620
9766703206236
10243215690640
1194168a0a20a
123b178538b80
1319c20675060
14bab379dab6
1564d7408510
hex38a0c8eb90

243215690640 has 320 divisors, whose sum is σ = 840991506432. Its totient is φ = 57741465600.

The previous prime is 243215690639. The next prime is 243215690677. The reversal of 243215690640 is 46096512342.

It is a junction number, because it is equal to n+sod(n) for n = 243215690592 and 243215690601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29688945 + ... + 29697135.

Almost surely, 2243215690640 is an apocalyptic number.

243215690640 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 243215690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420495753216).

243215690640 is an abundant number, since it is smaller than the sum of its proper divisors (597775815792).

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

243215690640 is a wasteful number, since it uses less digits than its factorization.

243215690640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8552 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 243215690640 in words is "two hundred forty-three billion, two hundred fifteen million, six hundred ninety thousand, six hundred forty".