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6806713472 = 271323293607
BaseRepresentation
bin1100101011011011…
…00011010010000000
3122120101000212111222
412111231203102000
5102420004312342
63043231254212
7330451052456
oct62555432200
918511025458
106806713472
112983237639
12139b67a368
1384625c610
144880049d6
1529c888ed2
hex195b63480

6806713472 has 128 divisors (see below), whose sum is σ = 15315471360. Its totient is φ = 2989780992.

The previous prime is 6806713471. The next prime is 6806713489. The reversal of 6806713472 is 2743176086.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6806713471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11213393 + ... + 11213999.

It is an arithmetic number, because the mean of its divisors is an integer number (119652120).

Almost surely, 26806713472 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 6806713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657735680).

6806713472 is an abundant number, since it is smaller than the sum of its proper divisors (8508757888).

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

6806713472 is a wasteful number, since it uses less digits than its factorization.

6806713472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 6806713472 is about 82502.8088733953. The cubic root of 6806713472 is about 1895.1597456550.

The spelling of 6806713472 in words is "six billion, eight hundred six million, seven hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 293 299 368 416 586 598 607 736 832 1172 1196 1214 1472 1664 2344 2392 2428 2944 3809 4688 4784 4856 6739 7618 7891 9376 9568 9712 13478 13961 15236 15782 18752 19136 19424 26956 27922 30472 31564 37504 38272 38848 53912 55844 60944 63128 77696 87607 107824 111688 121888 126256 175214 177851 181493 215648 223376 243776 252512 350428 355702 362986 431296 446752 487552 505024 700856 711404 725972 862592 893504 1010048 1401712 1422808 1451944 1787008 2312063 2803424 2845616 2903888 4090573 4624126 5606848 5691232 5807776 8181146 9248252 11213696 11382464 11615552 16362292 18496504 22764928 23231104 32724584 36993008 53177449 65449168 73986016 106354898 130898336 147972032 212709796 261796672 295944064 425419592 523593344 850839184 1701678368 3403356736 6806713472