Base | Representation |
---|---|
bin | 101010001101110100011… |
… | …110110011001110100000 |
3 | 101021100010122212000121100 |
4 | 222031310132303032200 |
5 | 340012331112443000 |
6 | 10100421030554400 |
7 | 416410620650043 |
oct | 52156436631640 |
9 | 11240118760540 |
10 | 2901057156000 |
11 | a19371152623 |
12 | 3aa2b2208a00 |
13 | 18075104cc73 |
14 | a05aa420c5a |
15 | 506e322aa00 |
hex | 2a3747b33a0 |
2901057156000 has 288 divisors, whose sum is σ = 10309549552848. Its totient is φ = 772586035200.
The previous prime is 2901057155981. The next prime is 2901057156047. The reversal of 2901057156000 is 6517501092.
2901057156000 is a `hidden beast` number, since 2 + 90 + 1 + 0 + 5 + 7 + 1 + 560 + 0 + 0 = 666.
2901057156000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 17032492-1.
It can be written as a sum of positive squares in 8 ways, for example, as 453246711696 + 2447810444304 = 673236^2 + 1564548^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×29010571560002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27198774 + ... + 27305226.
Almost surely, 22901057156000 is an apocalyptic number.
2901057156000 is a gapful number since it is divisible by the number (20) 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 2901057156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154774776424).
2901057156000 is an abundant number, since it is smaller than the sum of its proper divisors (7408492396848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2901057156000 is a wasteful number, since it uses less digits than its factorization.
2901057156000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107241 (or 107220 counting only the distinct ones).
The product of its (nonzero) digits is 18900, while the sum is 36.
The spelling of 2901057156000 in words is "two trillion, nine hundred one billion, fifty-seven million, one hundred fifty-six thousand".
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