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6875419056 = 24311101229563
BaseRepresentation
bin1100110011100111…
…01001000110110000
3122202011022110212020
412121303221012300
5103040101402211
63054124031440
7332244045342
oct63163510660
918664273766
106875419056
112a08aa4110
1213ba692580
13857566bcc
144931ab292
152a390b306
hex199ce91b0

6875419056 has 160 divisors (see below), whose sum is σ = 19688382720. Its totient is φ = 2050176000.

The previous prime is 6875419039. The next prime is 6875419087. The reversal of 6875419056 is 6509145786.

It is a super-2 number, since 2×68754190562 = 94542774391215862272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12211831 + ... + 12212393.

It is an arithmetic number, because the mean of its divisors is an integer number (123052392).

Almost surely, 26875419056 is an apocalyptic number.

6875419056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6875419056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9844191360).

6875419056 is an abundant number, since it is smaller than the sum of its proper divisors (12812963664).

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

6875419056 is a wasteful number, since it uses less digits than its factorization.

6875419056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 6875419056 is about 82918.1467231390. The cubic root of 6875419056 is about 1901.5148635363.

The spelling of 6875419056 in words is "six billion, eight hundred seventy-five million, four hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 229 264 303 404 458 528 563 606 687 808 916 1111 1126 1212 1374 1616 1689 1832 2222 2252 2424 2519 2748 3333 3378 3664 4444 4504 4848 5038 5496 6193 6666 6756 7557 8888 9008 10076 10992 12386 13332 13512 15114 17776 18579 20152 23129 24772 26664 27024 30228 37158 40304 46258 49544 53328 56863 60456 69387 74316 92516 99088 113726 120912 128927 138774 148632 170589 185032 227452 254419 257854 277548 297264 341178 370064 386781 454904 508838 515708 555096 625493 682356 763257 773562 909808 1017676 1031416 1110192 1250986 1364712 1418197 1526514 1547124 1876479 2035352 2062832 2501972 2729424 2836394 3053028 3094248 3752958 4070704 4254591 5003944 5672788 6106056 6188496 7505916 8509182 10007888 11345576 12212112 13021627 15011832 17018364 22691152 26043254 30023664 34036728 39064881 52086508 68073456 78129762 104173016 143237897 156259524 208346032 286475794 312519048 429713691 572951588 625038096 859427382 1145903176 1718854764 2291806352 3437709528 6875419056