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54347450481 = 323724410961
BaseRepresentation
bin110010100111010111…
…000100100001110001
312012021120022112112100
4302213113010201301
51342300421403411
640544502251013
73632531464332
oct624727044161
9165246275470
1054347450481
112105979aa35
12a648a26a69
13518166402c
1428b7c8a289
15163139d456
hexca75c4871

54347450481 has 18 divisors (see below), whose sum is σ = 80680905942. Its totient is φ = 35252392320.

The previous prime is 54347450473. The next prime is 54347450491. The reversal of 54347450481 is 18405474345.

54347450481 is a `hidden beast` number, since 54 + 3 + 4 + 74 + 50 + 481 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 48129339456 + 6218111025 = 219384^2 + 78855^2 .

It is not a de Polignac number, because 54347450481 - 23 = 54347450473 is a prime.

It is a super-2 number, since 2×543474504812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54347450401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2193160 + ... + 2217801.

Almost surely, 254347450481 is an apocalyptic number.

It is an amenable number.

54347450481 is a deficient number, since it is larger than the sum of its proper divisors (26333455461).

54347450481 is a wasteful number, since it uses less digits than its factorization.

54347450481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411041 (or 4411001 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 54347450481 in words is "fifty-four billion, three hundred forty-seven million, four hundred fifty thousand, four hundred eighty-one".

Divisors: 1 3 9 37 111 333 1369 4107 12321 4410961 13232883 39698649 163205557 489616671 1468850013 6038605609 18115816827 54347450481