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6871021344 = 25351180329
BaseRepresentation
bin1100110011000101…
…10111011100100000
3122201212001001100000
412121202313130200
5103032440140334
63053445500000
7332161501125
oct63142673440
918655031300
106871021344
112a06570040
1213b9111600
13856687305
1449278474c
152a333d299
hex1998b7720

6871021344 has 144 divisors (see below), whose sum is σ = 22105530720. Its totient is φ = 2082101760.

The previous prime is 6871021327. The next prime is 6871021349. The reversal of 6871021344 is 4431201786.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6871021299 and 6871021308.

It is not an unprimeable number, because it can be changed into a prime (6871021349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45372 + ... + 125700.

It is an arithmetic number, because the mean of its divisors is an integer number (153510630).

Almost surely, 26871021344 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 6871021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052765360).

6871021344 is an abundant number, since it is smaller than the sum of its proper divisors (15234509376).

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

6871021344 is a wasteful number, since it uses less digits than its factorization.

6871021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80365 (or 80345 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6871021344 is about 82891.6240883239. The cubic root of 6871021344 is about 1901.1093562150.

The spelling of 6871021344 in words is "six billion, eight hundred seventy-one million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4752 5346 7128 7776 9504 10692 14256 21384 28512 42768 80329 85536 160658 240987 321316 481974 642632 722961 883619 963948 1285264 1445922 1767238 1927896 2168883 2570528 2650857 2891844 3534476 3855792 4337766 5301714 5783688 6506649 7068952 7711584 7952571 8675532 10603428 11567376 13013298 14137904 15905142 17351064 19519947 21206856 23134752 23857713 26026596 28275808 31810284 34702128 39039894 42413712 47715426 52053192 63620568 69404256 71573139 78079788 84827424 95430852 104106384 127241136 143146278 156159576 190861704 208212768 214719417 254482272 286292556 312319152 381723408 429438834 572585112 624638304 763446816 858877668 1145170224 1717755336 2290340448 3435510672 6871021344