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107004869000 = 2353107004869
BaseRepresentation
bin110001110100111111…
…1001011100110001000
3101020012100112120001022
41203221333023212020
53223121221302000
6121053553412012
710505452244051
oct1435177134610
9336170476038
10107004869000
1141420505937
12188a386a008
13a123b2b943
1452714c7728
152bb41b6585
hex18e9fcb988

107004869000 has 32 divisors (see below), whose sum is σ = 250391395800. Its totient is φ = 42801947200.

The previous prime is 107004868981. The next prime is 107004869017. The reversal of 107004869000 is 968400701.

It can be written as a sum of positive squares in 4 ways, for example, as 6024553924 + 100980315076 = 77618^2 + 317774^2 .

It is a super-3 number, since 3×1070048690003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53501435 + ... + 53503434.

Almost surely, 2107004869000 is an apocalyptic number.

107004869000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107004869000 is an abundant number, since it is smaller than the sum of its proper divisors (143386526800).

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

107004869000 is a wasteful number, since it uses less digits than its factorization.

107004869000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107004890 (or 107004876 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 107004869000 in words is "one hundred seven billion, four million, eight hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 107004869 214009738 428019476 535024345 856038952 1070048690 2140097380 2675121725 4280194760 5350243450 10700486900 13375608625 21400973800 26751217250 53502434500 107004869000