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825372006060 = 2235710131761379
BaseRepresentation
bin11000000001011000000…
…00010101011010101100
32220220102121001012011210
430000230000111122230
5102010330213143220
61431100510314420
7113426326203120
oct14005400253254
92826377035153
10825372006060
11299046a86448
12113b674b8a10
135caa85a2604
142bd3bca7580
151670a9986e0
hexc02c0156ac

825372006060 has 192 divisors, whose sum is σ = 2675798737920. Its totient is φ = 186196300800.

The previous prime is 825372006049. The next prime is 825372006061. The reversal of 825372006060 is 60600273528.

It is not an unprimeable number, because it can be changed into a prime (825372006061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13416451 + ... + 13477829.

It is an arithmetic number, because the mean of its divisors is an integer number (13936451760).

Almost surely, 2825372006060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825372006060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337899368960).

825372006060 is an abundant number, since it is smaller than the sum of its proper divisors (1850426731860).

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

825372006060 is a wasteful number, since it uses less digits than its factorization.

825372006060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61816 (or 61814 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 825372006060 its reverse (60600273528), we get a palindrome (885972279588).

The spelling of 825372006060 in words is "eight hundred twenty-five billion, three hundred seventy-two million, six thousand, sixty".