Search a number
-
+
2957377664369 = 5389626961557
BaseRepresentation
bin101011000010010001011…
…100011111010101110001
3101110201111201211021201202
4223002101130133111301
5341423202140224434
610142333414540545
7423443401244642
oct53022134372561
911421451737652
102957377664369
11a40242658107
123b91ab967755
13185b583b716b
14a31d03516c9
1551ddc918a7e
hex2b09171f571

2957377664369 has 8 divisors (see below), whose sum is σ = 3047033171880. Its totient is φ = 2868976080256.

The previous prime is 2957377664341. The next prime is 2957377664393. The reversal of 2957377664369 is 9634667737592.

2957377664369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1176220504369 + 1781157160000 = 1084537^2 + 1334600^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2957377664369 is a prime.

It is a super-2 number, since 2×29573776643692 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2957377664296 and 2957377664305.

It is not an unprimeable number, because it can be changed into a prime (2957377669369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313476062 + ... + 313485495.

It is an arithmetic number, because the mean of its divisors is an integer number (380879146485).

Almost surely, 22957377664369 is an apocalyptic number.

It is an amenable number.

2957377664369 is a deficient number, since it is larger than the sum of its proper divisors (89655507511).

2957377664369 is an equidigital number, since it uses as much as digits as its factorization.

2957377664369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626961699.

The product of its digits is 2160406080, while the sum is 74.

The spelling of 2957377664369 in words is "two trillion, nine hundred fifty-seven billion, three hundred seventy-seven million, six hundred sixty-four thousand, three hundred sixty-nine".

Divisors: 1 53 89 4717 626961557 33228962521 55799578573 2957377664369