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5740427664 = 243313288027
BaseRepresentation
bin1010101100010011…
…11111100110010000
3112211001121221101000
411112021333212100
543224022141124
62345341142000
7262152554466
oct52611774620
915731557330
105740427664
11248635a2a4
12114255a900
1370638437a
143c6560836
15238e626c9
hex15627f990

5740427664 has 40 divisors (see below), whose sum is σ = 16477154720. Its totient is φ = 1913475744.

The previous prime is 5740427663. The next prime is 5740427669. The reversal of 5740427664 is 4667240475.

5740427664 is a `hidden beast` number, since 574 + 0 + 4 + 2 + 76 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5740427663) 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 7 ways as a sum of consecutive naturals, for example, 6643582 + ... + 6644445.

It is an arithmetic number, because the mean of its divisors is an integer number (411928868).

Almost surely, 25740427664 is an apocalyptic number.

5740427664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5740427664 is an abundant number, since it is smaller than the sum of its proper divisors (10736727056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5740427664 is a wasteful number, since it uses less digits than its factorization.

5740427664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13288044 (or 13288032 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 5740427664 is about 75765.6100351604. The cubic root of 5740427664 is about 1790.5292343948.

The spelling of 5740427664 in words is "five billion, seven hundred forty million, four hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 13288027 26576054 39864081 53152108 79728162 106304216 119592243 159456324 212608432 239184486 318912648 358776729 478368972 637825296 717553458 956737944 1435106916 1913475888 2870213832 5740427664