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6881189832 = 23321129210331
BaseRepresentation
bin1100110100010011…
…01001111111001000
3122202120011122212200
412122021221333020
5103043041033312
63054451440200
7332344101636
oct63211517710
918676148780
106881189832
112a11285850
1214005b6060
1385880777a
14493c70356
152a419b0dc
hex19a269fc8

6881189832 has 144 divisors (see below), whose sum is σ = 21058062480. Its totient is φ = 2013110400.

The previous prime is 6881189827. The next prime is 6881189869. The reversal of 6881189832 is 2389811886.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 660907 + ... + 671237.

It is an arithmetic number, because the mean of its divisors is an integer number (146236545).

Almost surely, 26881189832 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 6881189832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529031240).

6881189832 is an abundant number, since it is smaller than the sum of its proper divisors (14176872648).

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

6881189832 is a wasteful number, since it uses less digits than its factorization.

6881189832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10376 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 6881189832 is about 82952.9374525098. The cubic root of 6881189832 is about 1902.0467170671.

The spelling of 6881189832 in words is "six billion, eight hundred eighty-one million, one hundred eighty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 841 957 1044 1276 1682 1914 2088 2523 2552 2871 3364 3828 5046 5742 6728 7569 7656 9251 10092 10331 11484 15138 18502 20184 20662 22968 27753 30276 30993 37004 41324 55506 60552 61986 74008 82648 83259 92979 111012 113641 123972 166518 185958 222024 227282 247944 299599 333036 340923 371916 454564 599198 666072 681846 743832 898797 909128 1022769 1198396 1363692 1797594 2045538 2396792 2696391 2727384 3295589 3595188 4091076 5392782 6591178 7190376 8182152 8688371 9886767 10785564 13182356 17376742 19773534 21571128 26065113 26364712 29660301 34753484 39547068 52130226 59320602 69506968 78195339 79094136 95572081 104260452 118641204 156390678 191144162 208520904 237282408 286716243 312781356 382288324 573432486 625562712 764576648 860148729 1146864972 1720297458 2293729944 3440594916 6881189832