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6374243064 = 2337311319343
BaseRepresentation
bin1011110111110111…
…10011101011111000
3121110020021002122110
411323323303223320
5101023301234224
62532302052320
7313650113010
oct57373635370
917406232573
106374243064
112781104182
12129a87a0a0
137a778c777
144467cac40
1527490e929
hex17bef3af8

6374243064 has 128 divisors (see below), whose sum is σ = 18945146880. Its totient is φ = 1748822400.

The previous prime is 6374243021. The next prime is 6374243077. The reversal of 6374243064 is 4603424736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677577 + ... + 686919.

It is an arithmetic number, because the mean of its divisors is an integer number (148008960).

Almost surely, 26374243064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6374243064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9472573440).

6374243064 is an abundant number, since it is smaller than the sum of its proper divisors (12570903816).

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

6374243064 is a wasteful number, since it uses less digits than its factorization.

6374243064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 39.

The square root of 6374243064 is about 79838.8568555437. The cubic root of 6374243064 is about 1854.1414949572.

The spelling of 6374243064 in words is "six billion, three hundred seventy-four million, two hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 131 168 186 217 248 262 372 393 434 524 651 744 786 868 917 1048 1302 1572 1736 1834 2604 2751 3144 3668 4061 5208 5502 7336 8122 9343 11004 12183 16244 18686 22008 24366 28029 28427 32488 37372 48732 56058 56854 65401 74744 85281 97464 112116 113708 130802 170562 196203 224232 227416 261604 289633 341124 392406 523208 579266 682248 784812 868899 1158532 1223933 1569624 1737798 2027431 2317064 2447866 3475596 3671799 4054862 4895732 6082293 6951192 7343598 8109724 8567531 9791464 12164586 14687196 16219448 17135062 24329172 25702593 29374392 34270124 37941923 48658344 51405186 68540248 75883846 102810372 113825769 151767692 205620744 227651538 265593461 303535384 455303076 531186922 796780383 910606152 1062373844 1593560766 2124747688 3187121532 6374243064