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1427103418048 = 267211351111783
BaseRepresentation
bin10100110001000101111…
…111100000011011000000
312001102121021212002101221
4110301011333200123000
5141340201433334143
63011334031004424
7205050644622400
oct24610577403300
95042537762357
101427103418048
1150025a747440
121b06ba069714
13a4762b56c49
144d10208c800
15271c78222ed
hex14c45fe06c0

1427103418048 has 168 divisors, whose sum is σ = 3595067622144. Its totient is φ = 555808780800.

The previous prime is 1427103418007. The next prime is 1427103418129. The reversal of 1427103418048 is 8408143017241.

It is a junction number, because it is equal to n+sod(n) for n = 1427103417995 and 1427103418013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121109565 + ... + 121121347.

Almost surely, 21427103418048 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 1427103418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797533811072).

1427103418048 is an abundant number, since it is smaller than the sum of its proper divisors (2167964204096).

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

1427103418048 is a wasteful number, since it uses less digits than its factorization.

1427103418048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15331 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 1427103418048 in words is "one trillion, four hundred twenty-seven billion, one hundred three million, four hundred eighteen thousand, forty-eight".