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7047080768 = 267132352609
BaseRepresentation
bin1101001000000100…
…11110101101000000
3200012010022210110102
412210002132231000
5103413023041033
63123135221532
7336430124660
oct64402365500
920163283412
107047080768
112a969910a2
1214480778a8
13883cab6a0
144abcd41a0
152b3a18de8
hex1a409eb40

7047080768 has 112 divisors (see below), whose sum is σ = 17959791360. Its totient is φ = 2666594304.

The previous prime is 7047080767. The next prime is 7047080809. The reversal of 7047080768 is 8670807407.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×70470807682 = 99322694701430939648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7047080767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107648 + ... + 160256.

It is an arithmetic number, because the mean of its divisors is an integer number (160355280).

Almost surely, 27047080768 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 7047080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979895680).

7047080768 is an abundant number, since it is smaller than the sum of its proper divisors (10912710592).

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

7047080768 is a wasteful number, since it uses less digits than its factorization.

7047080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52664 (or 52654 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 47.

The square root of 7047080768 is about 83946.8925452277. The cubic root of 7047080768 is about 1917.2102830578.

The spelling of 7047080768 in words is "seven billion, forty-seven million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 161 182 184 208 224 299 322 364 368 416 448 598 644 728 736 832 1196 1288 1456 1472 2093 2392 2576 2912 4186 4784 5152 5824 8372 9568 10304 16744 19136 33488 52609 66976 105218 133952 210436 368263 420872 683917 736526 841744 1210007 1367834 1473052 1683488 2420014 2735668 2946104 3366976 4787419 4840028 5471336 5892208 8470049 9574838 9680056 10942672 11784416 15730091 16940098 19149676 19360112 21885344 23568832 31460182 33880196 38299352 38720224 43770688 62920364 67760392 76598704 77440448 110110637 125840728 135520784 153197408 220221274 251681456 271041568 306394816 440442548 503362912 542083136 880885096 1006725824 1761770192 3523540384 7047080768