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54045415431 = 357192776037
BaseRepresentation
bin110010010101010110…
…111001100000000111
312011111111222120100000
4302111112321200013
51341141111243211
640454512452343
73622203310560
oct622526714007
9164444876300
1054045415431
1120a14256597
12a58384a0b3
135133c02b77
142889b07167
151614adb656
hexc955b9807

54045415431 has 96 divisors (see below), whose sum is σ = 97759567360. Its totient is φ = 29147216256.

The previous prime is 54045415427. The next prime is 54045415453. The reversal of 54045415431 is 13451454045.

54045415431 is a `hidden beast` number, since 54 + 0 + 454 + 154 + 3 + 1 = 666.

It is not a de Polignac number, because 54045415431 - 22 = 54045415427 is a prime.

It is a super-2 number, since 2×540454154312 (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 (54045415421) 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 95 ways as a sum of consecutive naturals, for example, 8949345 + ... + 8955381.

Almost surely, 254045415431 is an apocalyptic number.

54045415431 is a deficient number, since it is larger than the sum of its proper divisors (43714151929).

54045415431 is a wasteful number, since it uses less digits than its factorization.

54045415431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 54045415431 its reverse (13451454045), we get a palindrome (67496869476).

The spelling of 54045415431 in words is "fifty-four billion, forty-five million, four hundred fifteen thousand, four hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 243 277 399 513 567 831 1197 1539 1701 1939 2493 3591 4617 5263 5817 6037 7479 10773 15789 17451 18111 22437 32319 36841 42259 47367 52353 54333 67311 110523 114703 126777 142101 157059 162999 331569 344109 380331 426303 471177 488997 802921 994707 1032327 1140993 1278909 1466991 1672249 2408763 2984121 3096981 3422979 5016747 7226289 8952363 9290943 10268937 11705743 15050241 21678867 27872829 31772731 35117229 45150723 65036601 95318193 105351687 135452169 195109803 222409117 285954579 316055061 406356507 667227351 857863737 948165183 2001682053 2573591211 2844495549 6005046159 7720773633 18015138477 54045415431