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102181683648 = 2631161793139
BaseRepresentation
bin101111100101010000…
…0001100000111000000
3100202202012212100120210
41133022200030013000
53133232002334043
6114535220034120
710245104660142
oct1371240140700
9322665770523
10102181683648
113a375995340
1217978532940
1398357ca105
144d34ad0c92
1529d0a39633
hex17ca80c1c0

102181683648 has 112 divisors (see below), whose sum is σ = 299768849280. Its totient is φ = 30456499200.

The previous prime is 102181683647. The next prime is 102181683673. The reversal of 102181683648 is 846386181201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 102181683597 and 102181683606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102181683647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267738 + ... + 525401.

Almost surely, 2102181683648 is an apocalyptic number.

It is an amenable number.

102181683648 is an abundant number, since it is smaller than the sum of its proper divisors (197587165632).

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

102181683648 is a wasteful number, since it uses less digits than its factorization.

102181683648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793226 (or 793216 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 102181683648 in words is "one hundred two billion, one hundred eighty-one million, six hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 132 176 183 192 244 264 352 366 488 528 671 704 732 976 1056 1342 1464 1952 2013 2112 2684 2928 3904 4026 5368 5856 8052 10736 11712 16104 21472 32208 42944 64416 128832 793139 1586278 2379417 3172556 4758834 6345112 8724529 9517668 12690224 17449058 19035336 25380448 26173587 34898116 38070672 48381479 50760896 52347174 69796232 76141344 96762958 104694348 139592464 145144437 152282688 193525916 209388696 279184928 290288874 387051832 418777392 532196269 558369856 580577748 774103664 837554784 1064392538 1161155496 1548207328 1596588807 1675109568 2128785076 2322310992 3096414656 3193177614 4257570152 4644621984 6386355228 8515140304 9289243968 12772710456 17030280608 25545420912 34060561216 51090841824 102181683648