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2657148401 is a prime number
BaseRepresentation
bin1001111001100000…
…1101110111110001
320212011220010100202
42132120031313301
520420212222101
61115355524545
7122563250225
oct23630156761
96764803322
102657148401
111143988a16
12621a59755
13334661c7b
141b2c7a785
1510841d36b
hex9e60ddf1

2657148401 has 2 divisors, whose sum is σ = 2657148402. Its totient is φ = 2657148400.

The previous prime is 2657148383. The next prime is 2657148409. The reversal of 2657148401 is 1048417562.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2230106176 + 427042225 = 47224^2 + 20665^2 .

It is a cyclic number.

It is not a de Polignac number, because 2657148401 - 210 = 2657147377 is a prime.

It is not a weakly prime, because it can be changed into another prime (2657148409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1328574200 + 1328574201.

It is an arithmetic number, because the mean of its divisors is an integer number (1328574201).

Almost surely, 22657148401 is an apocalyptic number.

It is an amenable number.

2657148401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2657148401 is an equidigital number, since it uses as much as digits as its factorization.

2657148401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 2657148401 is about 51547.5353533028. The cubic root of 2657148401 is about 1385.0706825739.

The spelling of 2657148401 in words is "two billion, six hundred fifty-seven million, one hundred forty-eight thousand, four hundred one".