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1376380069416 = 2339112294753
BaseRepresentation
bin10100000001110110101…
…001010010011000101000
311212120200021221000000000
4110001312221102120220
5140022311244210131
62532144505343000
7201303660361452
oct24016651223050
94776607830000
101376380069416
114907a0737900
121a2902a97a60
139ca3b2914a1
144a88d6672d2
1525c096e6ce6
hex14076a52628

1376380069416 has 960 divisors, whose sum is σ = 4580093548800. Its totient is φ = 386697991680.

The previous prime is 1376380069411. The next prime is 1376380069423. The reversal of 1376380069416 is 6149600836731.

It is a happy number.

1376380069416 is a `hidden beast` number, since 1 + 37 + 63 + 80 + 0 + 69 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1376380069411) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25969435246 + ... + 25969435298.

It is an arithmetic number, because the mean of its divisors is an integer number (4770930780).

Almost surely, 21376380069416 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 1376380069416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290046774400).

1376380069416 is an abundant number, since it is smaller than the sum of its proper divisors (3203713479384).

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

1376380069416 is an equidigital number, since it uses as much as digits as its factorization.

1376380069416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1376380069416 in words is "one trillion, three hundred seventy-six billion, three hundred eighty million, sixty-nine thousand, four hundred sixteen".