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54753790977 = 3215741779277
BaseRepresentation
bin110010111111100101…
…001000110000000001
312020022212220202220100
4302333211020300001
51344113432302402
641053055433013
73645564354444
oct627745106001
9166285822810
1054753790977
11212480a6626
12a740b25769
1352178b55b2
142915c2165b
151656db571c
hexcbf948c01

54753790977 has 24 divisors (see below), whose sum is σ = 79620196136. Its totient is φ = 36257435136.

The previous prime is 54753790967. The next prime is 54753790979. The reversal of 54753790977 is 77909735745.

54753790977 is a `hidden beast` number, since 5 + 4 + 7 + 537 + 9 + 0 + 97 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23369542641 + 31384248336 = 152871^2 + 177156^2 .

It is not a de Polignac number, because 54753790977 - 27 = 54753790849 is a prime.

It is a super-2 number, since 2×547537909772 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54753790979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5897463 + ... + 5906739.

Almost surely, 254753790977 is an apocalyptic number.

It is an amenable number.

54753790977 is a deficient number, since it is larger than the sum of its proper divisors (24866405159).

54753790977 is a wasteful number, since it uses less digits than its factorization.

54753790977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13617 (or 13614 counting only the distinct ones).

The product of its (nonzero) digits is 58344300, while the sum is 63.

The spelling of 54753790977 in words is "fifty-four billion, seven hundred fifty-three million, seven hundred ninety thousand, nine hundred seventy-seven".

Divisors: 1 3 9 157 471 1413 4177 9277 12531 27831 37593 83493 655789 1456489 1967367 4369467 5902101 13108401 38750029 116250087 348750261 6083754553 18251263659 54753790977