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54417167649 = 32132213210169
BaseRepresentation
bin110010101011100001…
…000001010100100001
312012110102111112111200
4302223201001110201
51342421243331044
640555432431413
73634336202355
oct625341012441
9165412445450
1054417167649
1121095088529
12a668248569
135192c33bb0
1428c3237465
151637570369
hexcab841521

54417167649 has 24 divisors (see below), whose sum is σ = 84687581160. Its totient is φ = 33472196352.

The previous prime is 54417167641. The next prime is 54417167659. The reversal of 54417167649 is 94676171445.

It is a happy number.

54417167649 is a `hidden beast` number, since 5 + 4 + 417 + 167 + 64 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4250127249 + 50167040400 = 65193^2 + 223980^2 .

It is not a de Polignac number, because 54417167649 - 23 = 54417167641 is a prime.

It is a super-2 number, since 2×544171676492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54417167595 and 54417167604.

It is not an unprimeable number, because it can be changed into a prime (54417167641) 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, 153837 + ... + 364005.

It is an arithmetic number, because the mean of its divisors is an integer number (3528649215).

Almost surely, 254417167649 is an apocalyptic number.

It is an amenable number.

54417167649 is a deficient number, since it is larger than the sum of its proper divisors (30270413511).

54417167649 is a wasteful number, since it uses less digits than its factorization.

54417167649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212401 (or 212398 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 54417167649 in words is "fifty-four billion, four hundred seventeen million, one hundred sixty-seven thousand, six hundred forty-nine".

Divisors: 1 3 9 13 39 117 2213 6639 19917 28769 86307 210169 258921 630507 1891521 2732197 8196591 24589773 465103997 1395311991 4185935973 6046351961 18139055883 54417167649