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189869961107808 = 253214936011122869
BaseRepresentation
bin101011001010111110001011…
…100101011101100101100000
3220220021101120001021122001200
4223022332023211131211200
5144341312140020422213
61511453020031401200
754664436431410432
oct5312761345354540
9826241501248050
10189869961107808
11555534421669a3
12193660a1983200
1381c3878192607
1434c5a801c4652
1516e3e47ba4273
hexacaf8b95d960

189869961107808 has 144 divisors (see below), whose sum is σ = 543585996954000. Its totient is φ = 62862964669440.

The previous prime is 189869961107791. The next prime is 189869961107833. The reversal of 189869961107808 is 808701169968981.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545242598 + ... + 1545365466.

It is an arithmetic number, because the mean of its divisors is an integer number (3774902756625).

Almost surely, 2189869961107808 is an apocalyptic number.

189869961107808 is a gapful number since it is divisible by the number (18) 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 189869961107808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271792998477000).

189869961107808 is an abundant number, since it is smaller than the sum of its proper divisors (353716035846192).

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

189869961107808 is a wasteful number, since it uses less digits than its factorization.

189869961107808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159045 (or 159034 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 81.

The spelling of 189869961107808 in words is "one hundred eighty-nine trillion, eight hundred sixty-nine billion, nine hundred sixty-one million, one hundred seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 10728 14304 21456 36011 42912 72022 108033 122869 144044 216066 245738 288088 324099 368607 432132 491476 576176 648198 737214 864264 982952 1105821 1152352 1296396 1474428 1728528 1965904 2211642 2592792 2948856 3457056 3931808 4423284 5185584 5365639 5897712 8846568 10371168 10731278 11795424 16096917 17693136 18307481 21462556 32193834 35386272 36614962 42925112 48290751 54922443 64387668 73229924 85850224 96581502 109844886 128775336 146459848 164767329 171700448 193163004 219689772 257550672 292919696 329534658 386326008 439379544 515101344 585839392 659069316 772652016 878759088 1318138632 1545304032 1757518176 2636277264 4424635559 5272554528 8849271118 13273906677 17698542236 26547813354 35397084472 39821720031 53095626708 70794168944 79643440062 106191253416 141588337888 159286880124 212382506832 318573760248 424765013664 637147520496 659270698291 1274295040992 1318541396582 1977812094873 2637082793164 3955624189746 5274165586328 5933436284619 7911248379492 10548331172656 11866872569238 15822496758984 21096662345312 23733745138476 31644993517968 47467490276952 63289987035936 94934980553904 189869961107808