Base | Representation |
---|---|
bin | 111111110100001101000… |
… | …000111011111000000000 |
3 | 120112020102200002000000000 |
4 | 333310031000323320000 |
5 | 1033322224232131042 |
6 | 13154341000000000 |
7 | 631555542414555 |
oct | 77641500737000 |
9 | 16466380060000 |
10 | 4385379958272 |
11 | 1440913729255 |
12 | 5a9abaa60000 |
13 | 25a702532bc1 |
14 | 112379946a2c |
15 | 791190e474c |
hex | 3fd0d03be00 |
4385379958272 has 800 divisors, whose sum is σ = 14231678102400. Its totient is φ = 1345251483648.
The previous prime is 4385379958207. The next prime is 4385379958277. The reversal of 4385379958272 is 2728599735834.
4385379958272 is a `hidden beast` number, since 4 + 3 + 8 + 5 + 37 + 9 + 9 + 582 + 7 + 2 = 666.
It is a super-2 number, since 2×43853799582722 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
Its product of digits (914457600) is a multiple of the sum of its prime factors (720).
It is a self number, because there is not a number n which added to its sum of digits gives 4385379958272.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4385379958277) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7084619979 + ... + 7084620597.
It is an arithmetic number, because the mean of its divisors is an integer number (17789597628).
Almost surely, 24385379958272 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 4385379958272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115839051200).
4385379958272 is an abundant number, since it is smaller than the sum of its proper divisors (9846298144128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4385379958272 is an frugal number, since it uses more digits than its factorization.
4385379958272 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 720 (or 680 counting only the distinct ones).
The product of its digits is 914457600, while the sum is 72.
The spelling of 4385379958272 in words is "four trillion, three hundred eighty-five billion, three hundred seventy-nine million, nine hundred fifty-eight thousand, two hundred seventy-two".
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