Base | Representation |
---|---|
bin | 11001001100011000111100… |
… | …10011100000001110100000 |
3 | 21021011022102021011211200000 |
4 | 30212030132103200032200 |
5 | 24230143321121032240 |
6 | 313455000233100000 |
7 | 14445416436346500 |
oct | 1446143623401640 |
9 | 237138367154600 |
10 | 55401291580320 |
11 | 1671a6128743a4 |
12 | 6269184557600 |
13 | 24bb41c8a308a |
14 | d976188c1a00 |
15 | 6611ac355430 |
hex | 32631e4e03a0 |
55401291580320 has 3456 divisors, whose sum is σ = 245133308399616. Its totient is φ = 11755389026304.
The previous prime is 55401291580319. The next prime is 55401291580321. The reversal of 55401291580320 is 2308519210455.
55401291580320 is a `hidden beast` number, since 5 + 5 + 40 + 1 + 2 + 9 + 1 + 580 + 3 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (55401291580319) and next prime (55401291580321).
It is a super-2 number, since 2×554012915803202 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (55401291580321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 331744260877 + ... + 331744261043.
It is an arithmetic number, because the mean of its divisors is an integer number (70929776736).
Almost surely, 255401291580320 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 55401291580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122566654199808).
55401291580320 is an abundant number, since it is smaller than the sum of its proper divisors (189732016819296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55401291580320 is a wasteful number, since it uses less digits than its factorization.
55401291580320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 414 (or 387 counting only the distinct ones).
The product of its (nonzero) digits is 432000, while the sum is 45.
The spelling of 55401291580320 in words is "fifty-five trillion, four hundred one billion, two hundred ninety-one million, five hundred eighty thousand, three hundred twenty".
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