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54354412431 = 321119197146683
BaseRepresentation
bin110010100111110001…
…101000001110001111
312012022001102020112100
4302213301220032033
51342304212144211
640545311410143
73632644611504
oct624761501617
9165261366470
1054354412431
1121062715610
12a64b223953
135182c30b27
1428b8b7d4ab
151631cc6156
hexca7c6838f

54354412431 has 48 divisors (see below), whose sum is σ = 90615507840. Its totient is φ = 31049645760.

The previous prime is 54354412381. The next prime is 54354412451. The reversal of 54354412431 is 13421445345.

54354412431 is a `hidden beast` number, since 543 + 54 + 41 + 24 + 3 + 1 = 666.

It is not a de Polignac number, because 54354412431 - 26 = 54354412367 is a prime.

It is a super-2 number, since 2×543544124312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54354412451) 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 in 47 ways as a sum of consecutive naturals, for example, 297216 + ... + 443898.

It is an arithmetic number, because the mean of its divisors is an integer number (1887823080).

Almost surely, 254354412431 is an apocalyptic number.

54354412431 is a deficient number, since it is larger than the sum of its proper divisors (36261095409).

54354412431 is a wasteful number, since it uses less digits than its factorization.

54354412431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146916 (or 146913 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 54354412431 its reverse (13421445345), we get a palindrome (67775857776).

The spelling of 54354412431 in words is "fifty-four billion, three hundred fifty-four million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 171 197 209 591 627 1773 1881 2167 3743 6501 11229 19503 33687 41173 123519 146683 370557 440049 1320147 1613513 2786977 4840539 8360931 14521617 25082793 28896551 30656747 86689653 91970241 260068959 275910723 317862061 549034469 953586183 1647103407 2860758549 4941310221 6039379159 18118137477 54354412431