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2060838249120 = 253557172112111
BaseRepresentation
bin11101111111010011100…
…010000010001010100000
321022000101100202010100000
4131333103202002022200
5232231044042432440
64214422551500000
7301614331042530
oct35772342021240
97260340663300
102060838249120
11724aa6513912
122934a2687600
1311c44a877051
1471a607c74c0
1538919110730
hex1dfd38822a0

2060838249120 has 1152 divisors, whose sum is σ = 8871262912512. Its totient is φ = 441029836800.

The previous prime is 2060838249101. The next prime is 2060838249139. The reversal of 2060838249120 is 219428380602.

2060838249120 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 83 + 82 + 491 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2060838249101) and next prime (2060838249139).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 976236865 + ... + 976238975.

It is an arithmetic number, because the mean of its divisors is an integer number (7700749056).

Almost surely, 22060838249120 is an apocalyptic number.

2060838249120 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 2060838249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435631456256).

2060838249120 is an abundant number, since it is smaller than the sum of its proper divisors (6810424663392).

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

2060838249120 is a wasteful number, since it uses less digits than its factorization.

2060838249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2060838249120 in words is "two trillion, sixty billion, eight hundred thirty-eight million, two hundred forty-nine thousand, one hundred twenty".