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104873206144 = 2771516071277
BaseRepresentation
bin110000110101011101…
…1100010000110000000
3101000200210102212100011
41201222323202012000
53204240020044034
6120102244434304
710401566354410
oct1415273420600
9330623385304
10104873206144
1140527210aa3
12183a99a8994
139b74305c85
14510c358640
152adbe97864
hex186aee2180

104873206144 has 128 divisors (see below), whose sum is σ = 240939601920. Its totient is φ = 44539545600.

The previous prime is 104873206133. The next prime is 104873206169. The reversal of 104873206144 is 441602378401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 104873206097 and 104873206106.

It is a congruent number.

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, 82124034 + ... + 82125310.

It is an arithmetic number, because the mean of its divisors is an integer number (1882340640).

Almost surely, 2104873206144 is an apocalyptic number.

104873206144 is a gapful number since it is divisible by the number (14) 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 104873206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120469800960).

104873206144 is an abundant number, since it is smaller than the sum of its proper divisors (136066395776).

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

104873206144 is a wasteful number, since it uses less digits than its factorization.

104873206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 104873206144 in words is "one hundred four billion, eight hundred seventy-three million, two hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 151 224 302 448 604 607 896 1057 1208 1214 1277 2114 2416 2428 2554 4228 4249 4832 4856 5108 8456 8498 8939 9664 9712 10216 16912 16996 17878 19328 19424 20432 33824 33992 35756 38848 40864 67648 67984 71512 77696 81728 91657 135296 135968 143024 163456 183314 192827 271936 286048 366628 385654 543872 572096 641599 733256 771308 775139 1144192 1283198 1349789 1466512 1542616 1550278 2566396 2699578 2933024 3085232 3100556 5132792 5399156 5425973 5866048 6170464 6201112 10265584 10798312 10851946 11732096 12340928 12402224 20531168 21596624 21703892 24681856 24804448 41062336 43193248 43407784 49608896 82124672 86386496 86815568 99217792 117045989 172772992 173631136 234091978 347262272 468183956 694524544 819321923 936367912 1638643846 1872735824 3277287692 3745471648 6554575384 7490943296 13109150768 14981886592 26218301536 52436603072 104873206144