Base | Representation |
---|---|
bin | 10011010101010100… |
… | …10011111011000000 |
3 | 222210100200201100200 |
4 | 21222222103323000 |
5 | 132224112124021 |
6 | 4433534445200 |
7 | 515132352603 |
oct | 115252237300 |
9 | 28710621320 |
10 | 10379411136 |
11 | 44469a8236 |
12 | 2018063800 |
13 | c954a05c3 |
14 | 7066c833a |
15 | 40b356126 |
hex | 26aa93ec0 |
10379411136 has 84 divisors (see below), whose sum is σ = 29874554424. Its totient is φ = 3445401600.
The previous prime is 10379411113. The next prime is 10379411209. The reversal of 10379411136 is 63111497301.
10379411136 is a `hidden beast` number, since 103 + 7 + 9 + 411 + 136 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10379411136.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101431 + ... + 176201.
Almost surely, 210379411136 is an apocalyptic number.
10379411136 is a gapful number since it is divisible by the number (16) 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 10379411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937277212).
10379411136 is an abundant number, since it is smaller than the sum of its proper divisors (19495143288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10379411136 is a wasteful number, since it uses less digits than its factorization.
10379411136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75030 (or 75017 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 36.
The spelling of 10379411136 in words is "ten billion, three hundred seventy-nine million, four hundred eleven thousand, one hundred thirty-six".
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