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206053145088 = 293731618199
BaseRepresentation
bin1011111111100110111…
…0010111101000000000
3201200212012100022112020
42333321232113220000
511333444101120323
6234354242001440
720613121556220
oct2777156275000
9650765308466
10206053145088
117a4286a074a
1233b26946280
131657a404a2b
149d89da6080
15555eaa8ae3
hex2ff9b97a00

206053145088 has 160 divisors (see below), whose sum is σ = 647596646400. Its totient is φ = 56973127680.

The previous prime is 206053145069. The next prime is 206053145093. The reversal of 206053145088 is 880541350602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24213 + ... + 642411.

It is an arithmetic number, because the mean of its divisors is an integer number (4047479040).

Almost surely, 2206053145088 is an apocalyptic number.

206053145088 is a gapful number since it is divisible by the number (28) 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 206053145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323798323200).

206053145088 is an abundant number, since it is smaller than the sum of its proper divisors (441543501312).

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

206053145088 is an equidigital number, since it uses as much as digits as its factorization.

206053145088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618258 (or 618242 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 206053145088 in words is "two hundred six billion, fifty-three million, one hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2604 2688 2976 3472 3584 3968 5208 5376 5952 6944 7936 10416 10752 11904 13888 15872 20832 23808 27776 41664 47616 55552 83328 111104 166656 333312 618199 1236398 1854597 2472796 3709194 4327393 4945592 7418388 8654786 9891184 12982179 14836776 17309572 19164169 19782368 25964358 29673552 34619144 38328338 39564736 51928716 57492507 59347104 69238288 76656676 79129472 103857432 114985014 118694208 134149183 138476576 153313352 158258944 207714864 229970028 237388416 268298366 276953152 306626704 316517888 402447549 415429728 459940056 474776832 536596732 553906304 613253408 804895098 830859456 919880112 949553664 1073193464 1107812608 1226506816 1609790196 1661718912 1839760224 2146386928 2215625216 2453013632 3219580392 3323437824 3679520448 4292773856 4906027264 6439160784 6646875648 7359040896 8585547712 9812054528 12878321568 14718081792 17171095424 25756643136 29436163584 34342190848 51513286272 68684381696 103026572544 206053145088