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2972106377 is a prime number
BaseRepresentation
bin1011000100100110…
…1011111010001001
321200010112122110222
42301021223322021
522041324401002
61210530315425
7133436326112
oct26111537211
97603478428
102972106377
111295749569
126ab428b75
13384999236
14202a25209
15125dd41a2
hexb126be89

2972106377 has 2 divisors, whose sum is σ = 2972106378. Its totient is φ = 2972106376.

The previous prime is 2972106349. The next prime is 2972106409. The reversal of 2972106377 is 7736012792.

2972106377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2364779641 + 607326736 = 48629^2 + 24644^2 .

It is a cyclic number.

It is not a de Polignac number, because 2972106377 - 212 = 2972102281 is a prime.

It is a super-2 number, since 2×29721063772 = 17666832632408132258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2972106077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1486053188 + 1486053189.

It is an arithmetic number, because the mean of its divisors is an integer number (1486053189).

Almost surely, 22972106377 is an apocalyptic number.

It is an amenable number.

2972106377 is a deficient number, since it is larger than the sum of its proper divisors (1).

2972106377 is an equidigital number, since it uses as much as digits as its factorization.

2972106377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 222264, while the sum is 44.

The square root of 2972106377 is about 54517.0283214337. The cubic root of 2972106377 is about 1437.7656928625.

The spelling of 2972106377 in words is "two billion, nine hundred seventy-two million, one hundred six thousand, three hundred seventy-seven".