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378876400117 is a prime number
BaseRepresentation
bin1011000001101101100…
…10110001000111110101
31100012221112210022110121
411200312302301013311
522201414324300432
6450015312051541
736241624156465
oct5406662610765
91305845708417
10378876400117
1113675393a136
1261518b33bb1
132996023bc07
14144a2997ba5
159cc71d4197
hex5836cb11f5

378876400117 has 2 divisors, whose sum is σ = 378876400118. Its totient is φ = 378876400116.

The previous prime is 378876400109. The next prime is 378876400151. The reversal of 378876400117 is 711004678873.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 345754584081 + 33121816036 = 588009^2 + 181994^2 .

It is an emirp because it is prime and its reverse (711004678873) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 378876400117 - 23 = 378876400109 is a prime.

It is a super-4 number, since 4×3788764001174 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (378876401117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 189438200058 + 189438200059.

It is an arithmetic number, because the mean of its divisors is an integer number (189438200059).

Almost surely, 2378876400117 is an apocalyptic number.

It is an amenable number.

378876400117 is a deficient number, since it is larger than the sum of its proper divisors (1).

378876400117 is an equidigital number, since it uses as much as digits as its factorization.

378876400117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 378876400117 in words is "three hundred seventy-eight billion, eight hundred seventy-six million, four hundred thousand, one hundred seventeen".