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1379346848640 = 2731051719113
BaseRepresentation
bin10100000100100111011…
…110101001101110000000
311212212100001110000000000
4110010213132221232000
5140044400243124030
62533355130000000
7201440333522535
oct24044736515600
94785301400000
101379346848640
11491a83377a62
121a33b0576000
13a00c1b13a57
144aa916a2d8c
1525d2edc7860
hex141277a9b80

1379346848640 has 1408 divisors, whose sum is σ = 5561604957600. Its totient is φ = 325066162176.

The previous prime is 1379346848629. The next prime is 1379346848647. The reversal of 1379346848640 is 468486439731.

It is a happy number.

1379346848640 is a `hidden beast` number, since 1 + 3 + 7 + 93 + 4 + 68 + 486 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379346848647) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 12206609224 + ... + 12206609336.

Almost surely, 21379346848640 is an apocalyptic number.

1379346848640 is a gapful number since it is divisible by the number (10) 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 1379346848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780802478800).

1379346848640 is an abundant number, since it is smaller than the sum of its proper divisors (4182258108960).

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

1379346848640 is an equidigital number, since it uses as much as digits as its factorization.

1379346848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 1379346848640 in words is "one trillion, three hundred seventy-nine billion, three hundred forty-six million, eight hundred forty-eight thousand, six hundred forty".