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4791252141 = 35134913089
BaseRepresentation
bin1000111011001010…
…01011010010101101
3110100220120211100000
410131211023102231
534303030032031
62111233054513
7226505654064
oct43545132255
913326524300
104791252141
11203959a715
12b186b7439
135b4830950
143364831db
151d09703e6
hex11d94b4ad

4791252141 has 48 divisors (see below), whose sum is σ = 7747346880. Its totient is φ = 2941505280.

The previous prime is 4791252131. The next prime is 4791252149. The reversal of 4791252141 is 1412521974.

4791252141 is a `hidden beast` number, since 4 + 7 + 91 + 2 + 521 + 41 = 666.

It is not a de Polignac number, because 4791252141 - 29 = 4791251629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4791252096 and 4791252105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4791252149) 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, 1549525 + ... + 1552613.

It is an arithmetic number, because the mean of its divisors is an integer number (161403060).

Almost surely, 24791252141 is an apocalyptic number.

It is an amenable number.

4791252141 is a deficient number, since it is larger than the sum of its proper divisors (2956094739).

4791252141 is a wasteful number, since it uses less digits than its factorization.

4791252141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3596 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 4791252141 is about 69218.8712779976. The cubic root of 4791252141 is about 1685.8399532732.

The spelling of 4791252141 in words is "four billion, seven hundred ninety-one million, two hundred fifty-two thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 491 1053 1473 3089 3159 4419 6383 9267 13257 19149 27801 39771 40157 57447 83403 119313 120471 172341 250209 361413 517023 750627 1084239 1516699 1551069 3252717 4550097 9758151 13650291 19717087 40950873 59151261 122852619 177453783 368557857 532361349 1597084047 4791252141