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2378156927401 is a prime number
BaseRepresentation
bin100010100110110101001…
…100101110100110101001
322102100102211211011102001
4202212311030232212221
5302430431133134101
65020302112211001
7333546642231463
oct42466514564651
98370384734361
102378156927401
11837630650472
12324a9bb39a61
1314334a706788
1483163a81133
1541cdbe44901
hex229b532e9a9

2378156927401 has 2 divisors, whose sum is σ = 2378156927402. Its totient is φ = 2378156927400.

The previous prime is 2378156927389. The next prime is 2378156927411. The reversal of 2378156927401 is 1047296518732.

2378156927401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2376219167001 + 1937760400 = 1541499^2 + 44020^2 .

It is a cyclic number.

It is not a de Polignac number, because 2378156927401 - 213 = 2378156919209 is a prime.

It is a super-2 number, since 2×23781569274012 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2378156927411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1189078463700 + 1189078463701.

It is an arithmetic number, because the mean of its divisors is an integer number (1189078463701).

It is a 1-persistent number, because it is pandigital, but 2⋅2378156927401 = 4756313854802 is not.

Almost surely, 22378156927401 is an apocalyptic number.

It is an amenable number.

2378156927401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2378156927401 is an equidigital number, since it uses as much as digits as its factorization.

2378156927401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 2378156927401 in words is "two trillion, three hundred seventy-eight billion, one hundred fifty-six million, nine hundred twenty-seven thousand, four hundred one".