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6734073984 = 273112144931
BaseRepresentation
bin1100100010110000…
…11101000010000000
3122101022100101212120
412101120131002000
5102242410331414
63032114324240
7325606453521
oct62130350200
918338311776
106734073984
112946233500
12137b289680
138341a8581
1447c4d6848
152962db2a9
hex19161d080

6734073984 has 96 divisors (see below), whose sum is σ = 19661475120. Its totient is φ = 2040614400.

The previous prime is 6734073961. The next prime is 6734074001. The reversal of 6734073984 is 4893704376.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26002 + ... + 118929.

Almost surely, 26734073984 is an apocalyptic number.

6734073984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6734073984 is an abundant number, since it is smaller than the sum of its proper divisors (12927401136).

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

6734073984 is a wasteful number, since it uses less digits than its factorization.

6734073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144970 (or 144947 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The square root of 6734073984 is about 82061.4037413448. The cubic root of 6734073984 is about 1888.3940693277.

The spelling of 6734073984 in words is "six billion, seven hundred thirty-four million, seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 144931 289862 434793 579724 869586 1159448 1594241 1739172 2318896 3188482 3478344 4637792 4782723 6376964 6956688 9275584 9565446 12753928 13913376 17536651 18551168 19130892 25507856 27826752 35073302 38261784 51015712 52609953 55653504 70146604 76523568 102031424 105219906 140293208 153047136 204062848 210439812 280586416 306094272 420879624 561172832 612188544 841759248 1122345664 1683518496 2244691328 3367036992 6734073984