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54090493731 = 32232910784211
BaseRepresentation
bin110010011000000010…
…110110111100100011
312011121122210210010200
4302120002312330203
51341234131244411
640503203000243
73623261416311
oct623002667443
9164548723120
1054090493731
1120a3774558a
12a596969083
135140357011
142891abd0b1
151618a42e56
hexc980b6f23

54090493731 has 48 divisors (see below), whose sum is σ = 85128226560. Its totient is φ = 32991456960.

The previous prime is 54090493643. The next prime is 54090493739. The reversal of 54090493731 is 13739409045.

54090493731 is a `hidden beast` number, since 5 + 4 + 0 + 90 + 493 + 73 + 1 = 666.

It is not a de Polignac number, because 54090493731 - 222 = 54086299427 is a prime.

It is a super-2 number, since 2×540904937312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54090493739) 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 47 ways as a sum of consecutive naturals, for example, 600216 + ... + 684426.

It is an arithmetic number, because the mean of its divisors is an integer number (1773504720).

Almost surely, 254090493731 is an apocalyptic number.

54090493731 is a deficient number, since it is larger than the sum of its proper divisors (31037732829).

54090493731 is a wasteful number, since it uses less digits than its factorization.

54090493731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84376 (or 84373 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 54090493731 in words is "fifty-four billion, ninety million, four hundred ninety-three thousand, seven hundred thirty-one".

Divisors: 1 3 9 23 29 69 87 107 207 261 321 667 963 2001 2461 3103 6003 7383 9309 22149 27927 71369 84211 214107 252633 642321 757899 1936853 2442119 5810559 7326357 9010577 17431677 21979071 27031731 56168737 81095193 168506211 207243271 261306733 505518633 621729813 783920199 1865189439 2351760597 6010054859 18030164577 54090493731