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8102068601300 = 2252412551774643
BaseRepresentation
bin111010111100110100011…
…1010111100000111010100
31001200112212002110120121222
41311321220322330013110
52030221014030220200
625122012224225512
71464232545546302
oct165715072740724
931615762416558
108102068601300
112644082561093
12aaa29a46b298
1346a038b49c2b
142001dc335272
15e0b47ab3d85
hex75e68ebc1d4

8102068601300 has 72 divisors (see below), whose sum is σ = 18017389021632. Its totient is φ = 3160539360000.

The previous prime is 8102068601273. The next prime is 8102068601353. The reversal of 8102068601300 is 31068602018.

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, 10071779 + ... + 10846421.

Almost surely, 28102068601300 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 8102068601300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008694510816).

8102068601300 is an abundant number, since it is smaller than the sum of its proper divisors (9915320420332).

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

8102068601300 is a wasteful number, since it uses less digits than its factorization.

8102068601300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777249 (or 777242 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 8102068601300 in words is "eight trillion, one hundred two billion, sixty-eight million, six hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 2551 4100 5102 10204 12755 25510 51020 63775 104591 127550 209182 255100 418364 522955 774643 1045910 1549286 2091820 2614775 3098572 3873215 5229550 7746430 10459100 15492860 19366075 31760363 38732150 63520726 77464300 127041452 158801815 317603630 635207260 794009075 1588018150 1976114293 3176036300 3952228586 7904457172 9880571465 19761142930 39522285860 49402857325 81020686013 98805714650 162041372026 197611429300 324082744052 405103430065 810206860130 1620413720260 2025517150325 4051034300650 8102068601300