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1379443979520 = 28335215318539
BaseRepresentation
bin10100000100101101010…
…001001011010100000000
311212212120211012202112000
4110010231101023110000
5140100100124321040
62533412515504000
7201442623235125
oct24045521132400
94785524182460
101379443979520
11492023189912
121a3418bb8000
13a0108c91649
144aaa054874c
1525d386b2130
hex1412d44b500

1379443979520 has 288 divisors, whose sum is σ = 4897648022400. Its totient is φ = 367661039616.

The previous prime is 1379443979519. The next prime is 1379443979527. The reversal of 1379443979520 is 259793449731.

1379443979520 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 4 + 4 + 39 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379443979527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74398411 + ... + 74416949.

It is an arithmetic number, because the mean of its divisors is an integer number (17005722300).

Almost surely, 21379443979520 is an apocalyptic number.

1379443979520 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 1379443979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448824011200).

1379443979520 is an abundant number, since it is smaller than the sum of its proper divisors (3518204042880).

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

1379443979520 is a wasteful number, since it uses less digits than its factorization.

1379443979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20722 (or 20702 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 1379443979520 in words is "one trillion, three hundred seventy-nine billion, four hundred forty-three million, nine hundred seventy-nine thousand, five hundred twenty".