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2957363969953 is a prime number
BaseRepresentation
bin101011000010010000101…
…000001111111110100001
3101110201110210001112112011
4223002100220033332201
5341423140134014303
610142332205232521
7423443143660351
oct53022050177641
911421423045464
102957363969953
11a40235954308
123b91a7262741
13185b55600b63
14a31cc5c8b61
1551ddb61116d
hex2b090a0ffa1

2957363969953 has 2 divisors, whose sum is σ = 2957363969954. Its totient is φ = 2957363969952.

The previous prime is 2957363969897. The next prime is 2957363969993. The reversal of 2957363969953 is 3599693637592.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1908771585889 + 1048592384064 = 1381583^2 + 1024008^2 .

It is a cyclic number.

It is not a de Polignac number, because 2957363969953 - 225 = 2957330415521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2957363969953.

It is not a weakly prime, because it can be changed into another prime (2957363969993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1478681984976 + 1478681984977.

It is an arithmetic number, because the mean of its divisors is an integer number (1478681984977).

Almost surely, 22957363969953 is an apocalyptic number.

It is an amenable number.

2957363969953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2957363969953 is an equidigital number, since it uses as much as digits as its factorization.

2957363969953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2232052200, while the sum is 76.

The spelling of 2957363969953 in words is "two trillion, nine hundred fifty-seven billion, three hundred sixty-three million, nine hundred sixty-nine thousand, nine hundred fifty-three".