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3526540103340 = 2234519238360017
BaseRepresentation
bin110011010100010110001…
…010111000111010101100
3110111010121122100221010000
4303110112022320322230
5430234323231301330
611300023053144300
7512532644201142
oct63242612707254
913433548327100
103526540103340
11113a662a51681
1248b57318b090
131c77222a8027
14c2984c45592
1561b00366560
hex335162b8eac

3526540103340 has 480 divisors, whose sum is σ = 12298062712320. Its totient is φ = 841898686464.

The previous prime is 3526540103299. The next prime is 3526540103351. The reversal of 3526540103340 is 433010456253.

3526540103340 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 540 + 103 + 3 + 4 + 0 = 666.

3526540103340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3526540103295 and 3526540103304.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58729012 + ... + 58789028.

It is an arithmetic number, because the mean of its divisors is an integer number (25620963984).

Almost surely, 23526540103340 is an apocalyptic number.

3526540103340 is a gapful number since it is divisible by the number (30) 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 3526540103340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149031356160).

3526540103340 is an abundant number, since it is smaller than the sum of its proper divisors (8771522608980).

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

3526540103340 is a wasteful number, since it uses less digits than its factorization.

3526540103340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60163 (or 60152 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 3526540103340 its reverse (433010456253), we get a palindrome (3959550559593).

The spelling of 3526540103340 in words is "three trillion, five hundred twenty-six billion, five hundred forty million, one hundred three thousand, three hundred forty".