Base | Representation |
---|---|
bin | 111000101000110000111010… |
… | …000000000011010100000000 |
3 | 1012122221221201112122020122000 |
4 | 320220300322000003110000 |
5 | 230122110200434002122 |
6 | 2241435123142544000 |
7 | 103316203254521631 |
oct | 7050607200032400 |
9 | 1178857645566560 |
10 | 249091896390912 |
11 | 72406309778153 |
12 | 23b2b818138000 |
13 | a8cb35a3a74a3 |
14 | 457217d8cb888 |
15 | 1dbe6ba05d0ac |
hex | e28c3a003500 |
249091896390912 has 576 divisors, whose sum is σ = 778518720000000. Its totient is φ = 78342503768064.
The previous prime is 249091896390899. The next prime is 249091896390949. The reversal of 249091896390912 is 219093698190942.
249091896390912 is a `hidden beast` number, since 2 + 49 + 0 + 9 + 189 + 6 + 390 + 9 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×2490918963909122 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43327862214 + ... + 43327867962.
It is an arithmetic number, because the mean of its divisors is an integer number (1351595000000).
Almost surely, 2249091896390912 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 249091896390912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389259360000000).
249091896390912 is an abundant number, since it is smaller than the sum of its proper divisors (529426823609088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
249091896390912 is a wasteful number, since it uses less digits than its factorization.
249091896390912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7071 (or 7051 counting only the distinct ones).
The product of its (nonzero) digits is 136048896, while the sum is 72.
The spelling of 249091896390912 in words is "two hundred forty-nine trillion, ninety-one billion, eight hundred ninety-six million, three hundred ninety thousand, nine hundred twelve".
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