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6871842816 = 219317257
BaseRepresentation
bin1100110011001100…
…00000000000000000
3122201220120210011220
412121212000000000
5103033142432231
63053515235040
7332201462106
oct63146000000
918656523156
106871842816
112a06a81243
1213b9448a80
138568b41a7
14492919c76
152a3451896
hex199980000

6871842816 has 160 divisors (see below), whose sum is σ = 19478329200. Its totient is φ = 2147483648.

The previous prime is 6871842811. The next prime is 6871842829. The reversal of 6871842816 is 6182481786.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6871842811) by changing a digit.

In principle, a polygon with 6871842816 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26738560 + ... + 26738816.

Almost surely, 26871842816 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 6871842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739164600).

6871842816 is an abundant number, since it is smaller than the sum of its proper divisors (12606486384).

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

6871842816 is an frugal number, since it uses more digits than its factorization.

6871842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 279 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 6871842816 is about 82896.5790367733. The cubic root of 6871842816 is about 1901.1851162219.

The spelling of 6871842816 in words is "six billion, eight hundred seventy-one million, eight hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 257 272 384 408 512 514 544 768 771 816 1024 1028 1088 1536 1542 1632 2048 2056 2176 3072 3084 3264 4096 4112 4352 4369 6144 6168 6528 8192 8224 8704 8738 12288 12336 13056 13107 16384 16448 17408 17476 24576 24672 26112 26214 32768 32896 34816 34952 49152 49344 52224 52428 65536 65792 69632 69904 98304 98688 104448 104856 131072 131584 139264 139808 196608 197376 208896 209712 262144 263168 278528 279616 393216 394752 417792 419424 524288 526336 557056 559232 786432 789504 835584 838848 1052672 1114112 1118464 1572864 1579008 1671168 1677696 2105344 2228224 2236928 3158016 3342336 3355392 4210688 4456448 4473856 6316032 6684672 6710784 8421376 8912896 8947712 12632064 13369344 13421568 16842752 17895424 25264128 26738688 26843136 33685504 35790848 50528256 53686272 67371008 71581696 101056512 107372544 134742016 143163392 202113024 214745088 286326784 404226048 429490176 572653568 858980352 1145307136 1717960704 2290614272 3435921408 6871842816