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838497082640 = 24572598634201
BaseRepresentation
bin11000011001110100101…
…00100001110100010000
32222011022022012011110012
430030322110201310100
5102214220223121030
61441111130254052
7114402511414400
oct14147224416420
92864268164405
10838497082640
112a367181a778
1211660ab87328
13610ba857b09
142c8250b0800
1516c27da5095
hexc33a521d10

838497082640 has 240 divisors, whose sum is σ = 2309451471360. Its totient is φ = 282217420800.

The previous prime is 838497082639. The next prime is 838497082649. The reversal of 838497082640 is 46280794838.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 838497082640.

It is not an unprimeable number, because it can be changed into a prime (838497082649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199592540 + ... + 199596740.

It is an arithmetic number, because the mean of its divisors is an integer number (9622714464).

Almost surely, 2838497082640 is an apocalyptic number.

838497082640 is a gapful number since it is divisible by the number (80) 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 838497082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154725735680).

838497082640 is an abundant number, since it is smaller than the sum of its proper divisors (1470954388720).

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

838497082640 is a wasteful number, since it uses less digits than its factorization.

838497082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 59.

The spelling of 838497082640 in words is "eight hundred thirty-eight billion, four hundred ninety-seven million, eighty-two thousand, six hundred forty".