Base | Representation |
---|---|
bin | 1001000000000000000… |
… | …0000000000000000000 |
3 | 112210002122121000102100 |
4 | 2100000000000000000 |
5 | 10013124404311111 |
6 | 155010401550400 |
7 | 14112412210344 |
oct | 2200000000000 |
9 | 483078530370 |
10 | 154618822656 |
11 | 5a634326a61 |
12 | 25b71645400 |
13 | 1177145a00c |
14 | 76aad8b624 |
15 | 404e33e756 |
hex | 2400000000 |
154618822656 has 105 divisors (see below), whose sum is σ = 446676598771. Its totient is φ = 51539607552.
The previous prime is 154618822651. The next prime is 154618822691. The reversal of 154618822656 is 656228816451.
The square root of 154618822656 is 393216.
It is a perfect power (a square), and thus also a powerful number.
It is a Jordan-Polya number, since it can be written as (4!)2 ⋅ (2!)28.
154618822656 is a `hidden beast` number, since 1 + 546 + 18 + 8 + 22 + 65 + 6 = 666.
It is a Duffinian number.
Its product of digits (5529600) is a multiple of the sum of its prime divisors (5).
It is a nialpdrome in base 4 and base 8.
It is a zygodrome in base 8.
It is not an unprimeable number, because it can be changed into a prime (154618822651) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 51539607551 + 51539607552 + 51539607553.
Almost surely, 2154618822656 is an apocalyptic number.
154618822656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
154618822656 is the 393216-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 154618822656
154618822656 is an abundant number, since it is smaller than the sum of its proper divisors (292057776115).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
154618822656 is an frugal number, since it uses more digits than its factorization.
154618822656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74 (or 5 counting only the distinct ones).
The product of its digits is 5529600, while the sum is 54.
Multiplying 154618822656 by its sum of digits (54), we get a 5-th power (8349416423424 = 3845).
The spelling of 154618822656 in words is "one hundred fifty-four billion, six hundred eighteen million, eight hundred twenty-two thousand, six hundred fifty-six".
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